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Finding the Third Proportional to 366,955 and 516,751

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Solution

The third proportional to 366,955 and 516,751 is: 727,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,955 : 516,751 = 516,751 : x
  2. Step 2: Convert to fraction form
    366,955/516,751 = 516,751/x
  3. Step 3: Cross multiply
    366,955x = 516,751 × 516,751
  4. Step 4: Simplify right side
    366,955x = 267,031,596,001
  5. Step 5: Solve for x
    x = 267,031,596,001/366,955
  6. Step 6: Final answer
    x = 727,695.76

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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.