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Finding the Third Proportional to 367,376 and 561,602

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Solution

The third proportional to 367,376 and 561,602 is: 858,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,376 : 561,602 = 561,602 : x
  2. Step 2: Convert to fraction form
    367,376/561,602 = 561,602/x
  3. Step 3: Cross multiply
    367,376x = 561,602 × 561,602
  4. Step 4: Simplify right side
    367,376x = 315,396,806,404
  5. Step 5: Solve for x
    x = 315,396,806,404/367,376
  6. Step 6: Final answer
    x = 858,512.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.