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Finding the Third Proportional to 486,682.13 and 755,524.13

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Solution

The third proportional to 486,682.13 and 755,524.13 is: 1,172,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,682.13 : 755,524.13 = 755,524.13 : x
  2. Step 2: Convert to fraction form
    486,682.13/755,524.13 = 755,524.13/x
  3. Step 3: Cross multiply
    486,682.13x = 755,524.13 × 755,524.13
  4. Step 4: Simplify right side
    486,682.13x = 570,816,703,457.02
  5. Step 5: Solve for x
    x = 570,816,703,457.02/486,682.13
  6. Step 6: Final answer
    x = 1,172,873.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.