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Finding the Third Proportional to 531,780.19 and 764,452.69

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Solution

The third proportional to 531,780.19 and 764,452.69 is: 1,098,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,780.19 : 764,452.69 = 764,452.69 : x
  2. Step 2: Convert to fraction form
    531,780.19/764,452.69 = 764,452.69/x
  3. Step 3: Cross multiply
    531,780.19x = 764,452.69 × 764,452.69
  4. Step 4: Simplify right side
    531,780.19x = 584,387,911,425.97
  5. Step 5: Solve for x
    x = 584,387,911,425.97/531,780.19
  6. Step 6: Final answer
    x = 1,098,927.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.