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Finding the Third Proportional to 382,239 and 574,317

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Solution

The third proportional to 382,239 and 574,317 is: 862,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,239 : 574,317 = 574,317 : x
  2. Step 2: Convert to fraction form
    382,239/574,317 = 574,317/x
  3. Step 3: Cross multiply
    382,239x = 574,317 × 574,317
  4. Step 4: Simplify right side
    382,239x = 329,840,016,489
  5. Step 5: Solve for x
    x = 329,840,016,489/382,239
  6. Step 6: Final answer
    x = 862,915.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.