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Finding the Third Proportional to 333,646.31 and 517,059.56

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Solution

The third proportional to 333,646.31 and 517,059.56 is: 801,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,646.31 : 517,059.56 = 517,059.56 : x
  2. Step 2: Convert to fraction form
    333,646.31/517,059.56 = 517,059.56/x
  3. Step 3: Cross multiply
    333,646.31x = 517,059.56 × 517,059.56
  4. Step 4: Simplify right side
    333,646.31x = 267,350,591,172.69
  5. Step 5: Solve for x
    x = 267,350,591,172.69/333,646.31
  6. Step 6: Final answer
    x = 801,299.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.