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Finding the Third Proportional to 367,102.50 and 516,969

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Solution

The third proportional to 367,102.50 and 516,969 is: 728,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,102.50 : 516,969 = 516,969 : x
  2. Step 2: Convert to fraction form
    367,102.50/516,969 = 516,969/x
  3. Step 3: Cross multiply
    367,102.50x = 516,969 × 516,969
  4. Step 4: Simplify right side
    367,102.50x = 267,256,946,961
  5. Step 5: Solve for x
    x = 267,256,946,961/367,102.50
  6. Step 6: Final answer
    x = 728,017.23

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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.