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Finding the Third Proportional to 596,624 and 866,760

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Solution

The third proportional to 596,624 and 866,760 is: 1,259,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,624 : 866,760 = 866,760 : x
  2. Step 2: Convert to fraction form
    596,624/866,760 = 866,760/x
  3. Step 3: Cross multiply
    596,624x = 866,760 × 866,760
  4. Step 4: Simplify right side
    596,624x = 751,272,897,600
  5. Step 5: Solve for x
    x = 751,272,897,600/596,624
  6. Step 6: Final answer
    x = 1,259,206.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.