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Finding the Third Proportional to 285,437,580.75 and 454,192,020

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Solution

The third proportional to 285,437,580.75 and 454,192,020 is: 722,716,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,437,580.75 : 454,192,020 = 454,192,020 : x
  2. Step 2: Convert to fraction form
    285,437,580.75/454,192,020 = 454,192,020/x
  3. Step 3: Cross multiply
    285,437,580.75x = 454,192,020 × 454,192,020
  4. Step 4: Simplify right side
    285,437,580.75x = 206,290,391,031,680,384
  5. Step 5: Solve for x
    x = 206,290,391,031,680,384/285,437,580.75
  6. Step 6: Final answer
    x = 722,716,295.76

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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.