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Finding the Third Proportional to 499,051.13 and 706,132.69

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Solution

The third proportional to 499,051.13 and 706,132.69 is: 999,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,051.13 : 706,132.69 = 706,132.69 : x
  2. Step 2: Convert to fraction form
    499,051.13/706,132.69 = 706,132.69/x
  3. Step 3: Cross multiply
    499,051.13x = 706,132.69 × 706,132.69
  4. Step 4: Simplify right side
    499,051.13x = 498,623,372,355.97
  5. Step 5: Solve for x
    x = 498,623,372,355.97/499,051.13
  6. Step 6: Final answer
    x = 999,142.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.