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Finding the Third Proportional to 416,213.44 and 626,780.53

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Solution

The third proportional to 416,213.44 and 626,780.53 is: 943,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.44 : 626,780.53 = 626,780.53 : x
  2. Step 2: Convert to fraction form
    416,213.44/626,780.53 = 626,780.53/x
  3. Step 3: Cross multiply
    416,213.44x = 626,780.53 × 626,780.53
  4. Step 4: Simplify right side
    416,213.44x = 392,853,834,354.03
  5. Step 5: Solve for x
    x = 392,853,834,354.03/416,213.44
  6. Step 6: Final answer
    x = 943,875.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.