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Finding the Third Proportional to 285,437,580.75 and 454,192,021.13

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Solution

The third proportional to 285,437,580.75 and 454,192,021.13 is: 722,716,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437,580.75 : 454,192,021.13 = 454,192,021.13 : x
  2. Step 2: Convert to fraction form
    285,437,580.75/454,192,021.13 = 454,192,021.13/x
  3. Step 3: Cross multiply
    285,437,580.75x = 454,192,021.13 × 454,192,021.13
  4. Step 4: Simplify right side
    285,437,580.75x = 206,290,392,053,612,448
  5. Step 5: Solve for x
    x = 206,290,392,053,612,448/285,437,580.75
  6. Step 6: Final answer
    x = 722,716,299.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.