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Finding the Third Proportional to 318,422 and 432,677

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Solution

The third proportional to 318,422 and 432,677 is: 587,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,422 : 432,677 = 432,677 : x
  2. Step 2: Convert to fraction form
    318,422/432,677 = 432,677/x
  3. Step 3: Cross multiply
    318,422x = 432,677 × 432,677
  4. Step 4: Simplify right side
    318,422x = 187,209,386,329
  5. Step 5: Solve for x
    x = 187,209,386,329/318,422
  6. Step 6: Final answer
    x = 587,928.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.