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Finding the Third Proportional to 366,952.50 and 516,748.50

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Solution

The third proportional to 366,952.50 and 516,748.50 is: 727,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,952.50 : 516,748.50 = 516,748.50 : x
  2. Step 2: Convert to fraction form
    366,952.50/516,748.50 = 516,748.50/x
  3. Step 3: Cross multiply
    366,952.50x = 516,748.50 × 516,748.50
  4. Step 4: Simplify right side
    366,952.50x = 267,029,012,252.25
  5. Step 5: Solve for x
    x = 267,029,012,252.25/366,952.50
  6. Step 6: Final answer
    x = 727,693.67

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