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Finding the Third Proportional to 204,552 and 437,533

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Solution

The third proportional to 204,552 and 437,533 is: 935,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,552 : 437,533 = 437,533 : x
  2. Step 2: Convert to fraction form
    204,552/437,533 = 437,533/x
  3. Step 3: Cross multiply
    204,552x = 437,533 × 437,533
  4. Step 4: Simplify right side
    204,552x = 191,435,126,089
  5. Step 5: Solve for x
    x = 191,435,126,089/204,552
  6. Step 6: Final answer
    x = 935,875.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.