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Finding the Third Proportional to 534,609 and 706,657

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Solution

The third proportional to 534,609 and 706,657 is: 934,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,609 : 706,657 = 706,657 : x
  2. Step 2: Convert to fraction form
    534,609/706,657 = 706,657/x
  3. Step 3: Cross multiply
    534,609x = 706,657 × 706,657
  4. Step 4: Simplify right side
    534,609x = 499,364,115,649
  5. Step 5: Solve for x
    x = 499,364,115,649/534,609
  6. Step 6: Final answer
    x = 934,073.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.