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Finding the Third Proportional to 532,672 and 717,676

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Solution

The third proportional to 532,672 and 717,676 is: 966,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,672 : 717,676 = 717,676 : x
  2. Step 2: Convert to fraction form
    532,672/717,676 = 717,676/x
  3. Step 3: Cross multiply
    532,672x = 717,676 × 717,676
  4. Step 4: Simplify right side
    532,672x = 515,058,840,976
  5. Step 5: Solve for x
    x = 515,058,840,976/532,672
  6. Step 6: Final answer
    x = 966,934.33

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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.