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Finding the Third Proportional to 363,586 and 781,146

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Solution

The third proportional to 363,586 and 781,146 is: 1,678,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,586 : 781,146 = 781,146 : x
  2. Step 2: Convert to fraction form
    363,586/781,146 = 781,146/x
  3. Step 3: Cross multiply
    363,586x = 781,146 × 781,146
  4. Step 4: Simplify right side
    363,586x = 610,189,073,316
  5. Step 5: Solve for x
    x = 610,189,073,316/363,586
  6. Step 6: Final answer
    x = 1,678,252.39

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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.