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Finding the Third Proportional to 386,569 and 832,126

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Solution

The third proportional to 386,569 and 832,126 is: 1,791,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,569 : 832,126 = 832,126 : x
  2. Step 2: Convert to fraction form
    386,569/832,126 = 832,126/x
  3. Step 3: Cross multiply
    386,569x = 832,126 × 832,126
  4. Step 4: Simplify right side
    386,569x = 692,433,679,876
  5. Step 5: Solve for x
    x = 692,433,679,876/386,569
  6. Step 6: Final answer
    x = 1,791,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.