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Finding the Third Proportional to 367,050 and 516,875

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Solution

The third proportional to 367,050 and 516,875 is: 727,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,050 : 516,875 = 516,875 : x
  2. Step 2: Convert to fraction form
    367,050/516,875 = 516,875/x
  3. Step 3: Cross multiply
    367,050x = 516,875 × 516,875
  4. Step 4: Simplify right side
    367,050x = 267,159,765,625
  5. Step 5: Solve for x
    x = 267,159,765,625/367,050
  6. Step 6: Final answer
    x = 727,856.60

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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.