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Finding the Third Proportional to 534,616 and 706,664

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Solution

The third proportional to 534,616 and 706,664 is: 934,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,616 : 706,664 = 706,664 : x
  2. Step 2: Convert to fraction form
    534,616/706,664 = 706,664/x
  3. Step 3: Cross multiply
    534,616x = 706,664 × 706,664
  4. Step 4: Simplify right side
    534,616x = 499,374,008,896
  5. Step 5: Solve for x
    x = 499,374,008,896/534,616
  6. Step 6: Final answer
    x = 934,079.80

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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.