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Finding the Third Proportional to 205,866.56 and 437,977.13

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Solution

The third proportional to 205,866.56 and 437,977.13 is: 931,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,866.56 : 437,977.13 = 437,977.13 : x
  2. Step 2: Convert to fraction form
    205,866.56/437,977.13 = 437,977.13/x
  3. Step 3: Cross multiply
    205,866.56x = 437,977.13 × 437,977.13
  4. Step 4: Simplify right side
    205,866.56x = 191,823,962,023.27
  5. Step 5: Solve for x
    x = 191,823,962,023.27/205,866.56
  6. Step 6: Final answer
    x = 931,787.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.