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Finding the Third Proportional to 367,106 and 564,675

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Solution

The third proportional to 367,106 and 564,675 is: 868,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,106 : 564,675 = 564,675 : x
  2. Step 2: Convert to fraction form
    367,106/564,675 = 564,675/x
  3. Step 3: Cross multiply
    367,106x = 564,675 × 564,675
  4. Step 4: Simplify right side
    367,106x = 318,857,855,625
  5. Step 5: Solve for x
    x = 318,857,855,625/367,106
  6. Step 6: Final answer
    x = 868,571.63

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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.