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Finding the Third Proportional to 303,941,123.25 and 716,777,613.75

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Solution

The third proportional to 303,941,123.25 and 716,777,613.75 is: 1,690,360,758.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,941,123.25 : 716,777,613.75 = 716,777,613.75 : x
  2. Step 2: Convert to fraction form
    303,941,123.25/716,777,613.75 = 716,777,613.75/x
  3. Step 3: Cross multiply
    303,941,123.25x = 716,777,613.75 × 716,777,613.75
  4. Step 4: Simplify right side
    303,941,123.25x = 513,770,147,573,144,192
  5. Step 5: Solve for x
    x = 513,770,147,573,144,192/303,941,123.25
  6. Step 6: Final answer
    x = 1,690,360,758.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.