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Finding the Third Proportional to 367,040 and 564,339

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Solution

The third proportional to 367,040 and 564,339 is: 867,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040 : 564,339 = 564,339 : x
  2. Step 2: Convert to fraction form
    367,040/564,339 = 564,339/x
  3. Step 3: Cross multiply
    367,040x = 564,339 × 564,339
  4. Step 4: Simplify right side
    367,040x = 318,478,506,921
  5. Step 5: Solve for x
    x = 318,478,506,921/367,040
  6. Step 6: Final answer
    x = 867,694.28

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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.