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Finding the Third Proportional to 403,920 and 625,407.75

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Solution

The third proportional to 403,920 and 625,407.75 is: 968,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,920 : 625,407.75 = 625,407.75 : x
  2. Step 2: Convert to fraction form
    403,920/625,407.75 = 625,407.75/x
  3. Step 3: Cross multiply
    403,920x = 625,407.75 × 625,407.75
  4. Step 4: Simplify right side
    403,920x = 391,134,853,760.06
  5. Step 5: Solve for x
    x = 391,134,853,760.06/403,920
  6. Step 6: Final answer
    x = 968,347.33

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