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Finding the Third Proportional to 534,611 and 706,660

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Solution

The third proportional to 534,611 and 706,660 is: 934,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,611 : 706,660 = 706,660 : x
  2. Step 2: Convert to fraction form
    534,611/706,660 = 706,660/x
  3. Step 3: Cross multiply
    534,611x = 706,660 × 706,660
  4. Step 4: Simplify right side
    534,611x = 499,368,355,600
  5. Step 5: Solve for x
    x = 499,368,355,600/534,611
  6. Step 6: Final answer
    x = 934,077.97

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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.