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Finding the Third Proportional to 318,442 and 464,534

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Solution

The third proportional to 318,442 and 464,534 is: 677,648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,442 : 464,534 = 464,534 : x
  2. Step 2: Convert to fraction form
    318,442/464,534 = 464,534/x
  3. Step 3: Cross multiply
    318,442x = 464,534 × 464,534
  4. Step 4: Simplify right side
    318,442x = 215,791,837,156
  5. Step 5: Solve for x
    x = 215,791,837,156/318,442
  6. Step 6: Final answer
    x = 677,648.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.