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Finding the Third Proportional to 532,674 and 717,679

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Solution

The third proportional to 532,674 and 717,679 is: 966,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,674 : 717,679 = 717,679 : x
  2. Step 2: Convert to fraction form
    532,674/717,679 = 717,679/x
  3. Step 3: Cross multiply
    532,674x = 717,679 × 717,679
  4. Step 4: Simplify right side
    532,674x = 515,063,147,041
  5. Step 5: Solve for x
    x = 515,063,147,041/532,674
  6. Step 6: Final answer
    x = 966,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.