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Finding the Third Proportional to 486,010.13 and 667,429.88

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Solution

The third proportional to 486,010.13 and 667,429.88 is: 916,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,010.13 : 667,429.88 = 667,429.88 : x
  2. Step 2: Convert to fraction form
    486,010.13/667,429.88 = 667,429.88/x
  3. Step 3: Cross multiply
    486,010.13x = 667,429.88 × 667,429.88
  4. Step 4: Simplify right side
    486,010.13x = 445,462,638,042.52
  5. Step 5: Solve for x
    x = 445,462,638,042.52/486,010.13
  6. Step 6: Final answer
    x = 916,570.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.