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Finding the Third Proportional to 303,398,007.75 and 454,266,636.75

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Solution

The third proportional to 303,398,007.75 and 454,266,636.75 is: 680,156,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,398,007.75 : 454,266,636.75 = 454,266,636.75 : x
  2. Step 2: Convert to fraction form
    303,398,007.75/454,266,636.75 = 454,266,636.75/x
  3. Step 3: Cross multiply
    303,398,007.75x = 454,266,636.75 × 454,266,636.75
  4. Step 4: Simplify right side
    303,398,007.75x = 206,358,177,264,156,448
  5. Step 5: Solve for x
    x = 206,358,177,264,156,448/303,398,007.75
  6. Step 6: Final answer
    x = 680,156,665.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.