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Finding the Third Proportional to 239,028 and 521,532

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Solution

The third proportional to 239,028 and 521,532 is: 1,137,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,028 : 521,532 = 521,532 : x
  2. Step 2: Convert to fraction form
    239,028/521,532 = 521,532/x
  3. Step 3: Cross multiply
    239,028x = 521,532 × 521,532
  4. Step 4: Simplify right side
    239,028x = 271,995,627,024
  5. Step 5: Solve for x
    x = 271,995,627,024/239,028
  6. Step 6: Final answer
    x = 1,137,923.70

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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.