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Finding the Third Proportional to 563,769 and 872,568

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Solution

The third proportional to 563,769 and 872,568 is: 1,350,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,769 : 872,568 = 872,568 : x
  2. Step 2: Convert to fraction form
    563,769/872,568 = 872,568/x
  3. Step 3: Cross multiply
    563,769x = 872,568 × 872,568
  4. Step 4: Simplify right side
    563,769x = 761,374,914,624
  5. Step 5: Solve for x
    x = 761,374,914,624/563,769
  6. Step 6: Final answer
    x = 1,350,508.66

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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.