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Finding the Third Proportional to 403,936 and 625,432

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Solution

The third proportional to 403,936 and 625,432 is: 968,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,936 : 625,432 = 625,432 : x
  2. Step 2: Convert to fraction form
    403,936/625,432 = 625,432/x
  3. Step 3: Cross multiply
    403,936x = 625,432 × 625,432
  4. Step 4: Simplify right side
    403,936x = 391,165,186,624
  5. Step 5: Solve for x
    x = 391,165,186,624/403,936
  6. Step 6: Final answer
    x = 968,384.07

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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.