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Finding the Third Proportional to 563,708 and 872,472

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Solution

The third proportional to 563,708 and 872,472 is: 1,350,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,708 : 872,472 = 872,472 : x
  2. Step 2: Convert to fraction form
    563,708/872,472 = 872,472/x
  3. Step 3: Cross multiply
    563,708x = 872,472 × 872,472
  4. Step 4: Simplify right side
    563,708x = 761,207,390,784
  5. Step 5: Solve for x
    x = 761,207,390,784/563,708
  6. Step 6: Final answer
    x = 1,350,357.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.