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Finding the Third Proportional to 367,008 and 564,282

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Solution

The third proportional to 367,008 and 564,282 is: 867,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,008 : 564,282 = 564,282 : x
  2. Step 2: Convert to fraction form
    367,008/564,282 = 564,282/x
  3. Step 3: Cross multiply
    367,008x = 564,282 × 564,282
  4. Step 4: Simplify right side
    367,008x = 318,414,175,524
  5. Step 5: Solve for x
    x = 318,414,175,524/367,008
  6. Step 6: Final answer
    x = 867,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.