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Finding the Third Proportional to 284,778 and 626,400

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Solution

The third proportional to 284,778 and 626,400 is: 1,377,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778 : 626,400 = 626,400 : x
  2. Step 2: Convert to fraction form
    284,778/626,400 = 626,400/x
  3. Step 3: Cross multiply
    284,778x = 626,400 × 626,400
  4. Step 4: Simplify right side
    284,778x = 392,376,960,000
  5. Step 5: Solve for x
    x = 392,376,960,000/284,778
  6. Step 6: Final answer
    x = 1,377,834.52

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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.