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Finding the Third Proportional to 567,642 and 872,759

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Solution

The third proportional to 567,642 and 872,759 is: 1,341,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,642 : 872,759 = 872,759 : x
  2. Step 2: Convert to fraction form
    567,642/872,759 = 872,759/x
  3. Step 3: Cross multiply
    567,642x = 872,759 × 872,759
  4. Step 4: Simplify right side
    567,642x = 761,708,272,081
  5. Step 5: Solve for x
    x = 761,708,272,081/567,642
  6. Step 6: Final answer
    x = 1,341,881.45

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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.