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Finding the Third Proportional to 239,253.75 and 521,973

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Solution

The third proportional to 239,253.75 and 521,973 is: 1,138,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,253.75 : 521,973 = 521,973 : x
  2. Step 2: Convert to fraction form
    239,253.75/521,973 = 521,973/x
  3. Step 3: Cross multiply
    239,253.75x = 521,973 × 521,973
  4. Step 4: Simplify right side
    239,253.75x = 272,455,812,729
  5. Step 5: Solve for x
    x = 272,455,812,729/239,253.75
  6. Step 6: Final answer
    x = 1,138,773.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.