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Finding the Third Proportional to 239,941 and 514,793

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Solution

The third proportional to 239,941 and 514,793 is: 1,104,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,941 : 514,793 = 514,793 : x
  2. Step 2: Convert to fraction form
    239,941/514,793 = 514,793/x
  3. Step 3: Cross multiply
    239,941x = 514,793 × 514,793
  4. Step 4: Simplify right side
    239,941x = 265,011,832,849
  5. Step 5: Solve for x
    x = 265,011,832,849/239,941
  6. Step 6: Final answer
    x = 1,104,487.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.