Home / 465,445,298.25-694,131,702.19

Finding the Third Proportional to 465,445,298.25 and 694,131,702.19

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Solution

The third proportional to 465,445,298.25 and 694,131,702.19 is: 1,035,178,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,445,298.25 : 694,131,702.19 = 694,131,702.19 : x
  2. Step 2: Convert to fraction form
    465,445,298.25/694,131,702.19 = 694,131,702.19/x
  3. Step 3: Cross multiply
    465,445,298.25x = 694,131,702.19 × 694,131,702.19
  4. Step 4: Simplify right side
    465,445,298.25x = 481,818,819,981,716,224
  5. Step 5: Solve for x
    x = 481,818,819,981,716,224/465,445,298.25
  6. Step 6: Final answer
    x = 1,035,178,186.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.