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Finding the Third Proportional to 458,067.38 and 713,275.88

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Solution

The third proportional to 458,067.38 and 713,275.88 is: 1,110,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,067.38 : 713,275.88 = 713,275.88 : x
  2. Step 2: Convert to fraction form
    458,067.38/713,275.88 = 713,275.88/x
  3. Step 3: Cross multiply
    458,067.38x = 713,275.88 × 713,275.88
  4. Step 4: Simplify right side
    458,067.38x = 508,762,473,857.02
  5. Step 5: Solve for x
    x = 508,762,473,857.02/458,067.38
  6. Step 6: Final answer
    x = 1,110,671.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.