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Finding the Third Proportional to 403,855.88 and 625,249.13

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Solution

The third proportional to 403,855.88 and 625,249.13 is: 968,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,855.88 : 625,249.13 = 625,249.13 : x
  2. Step 2: Convert to fraction form
    403,855.88/625,249.13 = 625,249.13/x
  3. Step 3: Cross multiply
    403,855.88x = 625,249.13 × 625,249.13
  4. Step 4: Simplify right side
    403,855.88x = 390,936,468,313.27
  5. Step 5: Solve for x
    x = 390,936,468,313.27/403,855.88
  6. Step 6: Final answer
    x = 968,009.86

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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.