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Finding the Third Proportional to 497,067.38 and 760,057.50

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Solution

The third proportional to 497,067.38 and 760,057.50 is: 1,162,191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,067.38 : 760,057.50 = 760,057.50 : x
  2. Step 2: Convert to fraction form
    497,067.38/760,057.50 = 760,057.50/x
  3. Step 3: Cross multiply
    497,067.38x = 760,057.50 × 760,057.50
  4. Step 4: Simplify right side
    497,067.38x = 577,687,403,306.25
  5. Step 5: Solve for x
    x = 577,687,403,306.25/497,067.38
  6. Step 6: Final answer
    x = 1,162,191.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.