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Finding the Third Proportional to 239,940 and 514,791

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Solution

The third proportional to 239,940 and 514,791 is: 1,104,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,940 : 514,791 = 514,791 : x
  2. Step 2: Convert to fraction form
    239,940/514,791 = 514,791/x
  3. Step 3: Cross multiply
    239,940x = 514,791 × 514,791
  4. Step 4: Simplify right side
    239,940x = 265,009,773,681
  5. Step 5: Solve for x
    x = 265,009,773,681/239,940
  6. Step 6: Final answer
    x = 1,104,483.51

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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.