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Finding the Third Proportional to 563,714 and 872,481

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Solution

The third proportional to 563,714 and 872,481 is: 1,350,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,714 : 872,481 = 872,481 : x
  2. Step 2: Convert to fraction form
    563,714/872,481 = 872,481/x
  3. Step 3: Cross multiply
    563,714x = 872,481 × 872,481
  4. Step 4: Simplify right side
    563,714x = 761,223,095,361
  5. Step 5: Solve for x
    x = 761,223,095,361/563,714
  6. Step 6: Final answer
    x = 1,350,371.10

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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.