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Finding the Third Proportional to 367,068 and 808,638

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Solution

The third proportional to 367,068 and 808,638 is: 1,781,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,068 : 808,638 = 808,638 : x
  2. Step 2: Convert to fraction form
    367,068/808,638 = 808,638/x
  3. Step 3: Cross multiply
    367,068x = 808,638 × 808,638
  4. Step 4: Simplify right side
    367,068x = 653,895,415,044
  5. Step 5: Solve for x
    x = 653,895,415,044/367,068
  6. Step 6: Final answer
    x = 1,781,401.31

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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.