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Finding the Third Proportional to 204,020 and 437,522

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Solution

The third proportional to 204,020 and 437,522 is: 938,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,020 : 437,522 = 437,522 : x
  2. Step 2: Convert to fraction form
    204,020/437,522 = 437,522/x
  3. Step 3: Cross multiply
    204,020x = 437,522 × 437,522
  4. Step 4: Simplify right side
    204,020x = 191,425,500,484
  5. Step 5: Solve for x
    x = 191,425,500,484/204,020
  6. Step 6: Final answer
    x = 938,268.31

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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.