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Finding the Third Proportional to 367,098.75 and 516,964.50

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Solution

The third proportional to 367,098.75 and 516,964.50 is: 728,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,098.75 : 516,964.50 = 516,964.50 : x
  2. Step 2: Convert to fraction form
    367,098.75/516,964.50 = 516,964.50/x
  3. Step 3: Cross multiply
    367,098.75x = 516,964.50 × 516,964.50
  4. Step 4: Simplify right side
    367,098.75x = 267,252,294,260.25
  5. Step 5: Solve for x
    x = 267,252,294,260.25/367,098.75
  6. Step 6: Final answer
    x = 728,012.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.