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Finding the Third Proportional to 367,098 and 812,806

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Solution

The third proportional to 367,098 and 812,806 is: 1,799,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098 : 812,806 = 812,806 : x
  2. Step 2: Convert to fraction form
    367,098/812,806 = 812,806/x
  3. Step 3: Cross multiply
    367,098x = 812,806 × 812,806
  4. Step 4: Simplify right side
    367,098x = 660,653,593,636
  5. Step 5: Solve for x
    x = 660,653,593,636/367,098
  6. Step 6: Final answer
    x = 1,799,665.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.