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Finding the Third Proportional to 284,780 and 626,404

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Solution

The third proportional to 284,780 and 626,404 is: 1,377,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,780 : 626,404 = 626,404 : x
  2. Step 2: Convert to fraction form
    284,780/626,404 = 626,404/x
  3. Step 3: Cross multiply
    284,780x = 626,404 × 626,404
  4. Step 4: Simplify right side
    284,780x = 392,381,971,216
  5. Step 5: Solve for x
    x = 392,381,971,216/284,780
  6. Step 6: Final answer
    x = 1,377,842.44

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