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Finding the Third Proportional to 563,703 and 872,467

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Solution

The third proportional to 563,703 and 872,467 is: 1,350,354.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,703 : 872,467 = 872,467 : x
  2. Step 2: Convert to fraction form
    563,703/872,467 = 872,467/x
  3. Step 3: Cross multiply
    563,703x = 872,467 × 872,467
  4. Step 4: Simplify right side
    563,703x = 761,198,666,089
  5. Step 5: Solve for x
    x = 761,198,666,089/563,703
  6. Step 6: Final answer
    x = 1,350,354.12

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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.