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Finding the Third Proportional to 367,057 and 516,905

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Solution

The third proportional to 367,057 and 516,905 is: 727,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,057 : 516,905 = 516,905 : x
  2. Step 2: Convert to fraction form
    367,057/516,905 = 516,905/x
  3. Step 3: Cross multiply
    367,057x = 516,905 × 516,905
  4. Step 4: Simplify right side
    367,057x = 267,190,779,025
  5. Step 5: Solve for x
    x = 267,190,779,025/367,057
  6. Step 6: Final answer
    x = 727,927.21

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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.