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Finding the Third Proportional to 567,626 and 872,741

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Solution

The third proportional to 567,626 and 872,741 is: 1,341,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,626 : 872,741 = 872,741 : x
  2. Step 2: Convert to fraction form
    567,626/872,741 = 872,741/x
  3. Step 3: Cross multiply
    567,626x = 872,741 × 872,741
  4. Step 4: Simplify right side
    567,626x = 761,676,853,081
  5. Step 5: Solve for x
    x = 761,676,853,081/567,626
  6. Step 6: Final answer
    x = 1,341,863.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.