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Finding the Third Proportional to 367,038 and 564,336

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Solution

The third proportional to 367,038 and 564,336 is: 867,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,038 : 564,336 = 564,336 : x
  2. Step 2: Convert to fraction form
    367,038/564,336 = 564,336/x
  3. Step 3: Cross multiply
    367,038x = 564,336 × 564,336
  4. Step 4: Simplify right side
    367,038x = 318,475,120,896
  5. Step 5: Solve for x
    x = 318,475,120,896/367,038
  6. Step 6: Final answer
    x = 867,689.78

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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.