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Finding the Third Proportional to 204,516 and 437,464

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Solution

The third proportional to 204,516 and 437,464 is: 935,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,516 : 437,464 = 437,464 : x
  2. Step 2: Convert to fraction form
    204,516/437,464 = 437,464/x
  3. Step 3: Cross multiply
    204,516x = 437,464 × 437,464
  4. Step 4: Simplify right side
    204,516x = 191,374,751,296
  5. Step 5: Solve for x
    x = 191,374,751,296/204,516
  6. Step 6: Final answer
    x = 935,744.64

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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.