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Finding the Third Proportional to 403,928 and 625,420

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Solution

The third proportional to 403,928 and 625,420 is: 968,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,928 : 625,420 = 625,420 : x
  2. Step 2: Convert to fraction form
    403,928/625,420 = 625,420/x
  3. Step 3: Cross multiply
    403,928x = 625,420 × 625,420
  4. Step 4: Simplify right side
    403,928x = 391,150,176,400
  5. Step 5: Solve for x
    x = 391,150,176,400/403,928
  6. Step 6: Final answer
    x = 968,366.09

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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.