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Finding the Third Proportional to 491,204.25 and 738,630.56

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Solution

The third proportional to 491,204.25 and 738,630.56 is: 1,110,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,204.25 : 738,630.56 = 738,630.56 : x
  2. Step 2: Convert to fraction form
    491,204.25/738,630.56 = 738,630.56/x
  3. Step 3: Cross multiply
    491,204.25x = 738,630.56 × 738,630.56
  4. Step 4: Simplify right side
    491,204.25x = 545,575,107,859.07
  5. Step 5: Solve for x
    x = 545,575,107,859.07/491,204.25
  6. Step 6: Final answer
    x = 1,110,688.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.