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Finding the Third Proportional to 569,874.75 and 866,561.37

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Solution

The third proportional to 569,874.75 and 866,561.37 is: 1,317,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,874.75 : 866,561.37 = 866,561.37 : x
  2. Step 2: Convert to fraction form
    569,874.75/866,561.37 = 866,561.37/x
  3. Step 3: Cross multiply
    569,874.75x = 866,561.37 × 866,561.37
  4. Step 4: Simplify right side
    569,874.75x = 750,928,615,795.61
  5. Step 5: Solve for x
    x = 750,928,615,795.61/569,874.75
  6. Step 6: Final answer
    x = 1,317,708.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.