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Finding the Third Proportional to 367,042 and 808,586

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Solution

The third proportional to 367,042 and 808,586 is: 1,781,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,042 : 808,586 = 808,586 : x
  2. Step 2: Convert to fraction form
    367,042/808,586 = 808,586/x
  3. Step 3: Cross multiply
    367,042x = 808,586 × 808,586
  4. Step 4: Simplify right side
    367,042x = 653,811,319,396
  5. Step 5: Solve for x
    x = 653,811,319,396/367,042
  6. Step 6: Final answer
    x = 1,781,298.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.