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Finding the Third Proportional to 366,938 and 516,730

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Solution

The third proportional to 366,938 and 516,730 is: 727,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,938 : 516,730 = 516,730 : x
  2. Step 2: Convert to fraction form
    366,938/516,730 = 516,730/x
  3. Step 3: Cross multiply
    366,938x = 516,730 × 516,730
  4. Step 4: Simplify right side
    366,938x = 267,009,892,900
  5. Step 5: Solve for x
    x = 267,009,892,900/366,938
  6. Step 6: Final answer
    x = 727,670.32

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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.