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Finding the Third Proportional to 233,947.41 and 478,960.73

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Solution

The third proportional to 233,947.41 and 478,960.73 is: 980,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,947.41 : 478,960.73 = 478,960.73 : x
  2. Step 2: Convert to fraction form
    233,947.41/478,960.73 = 478,960.73/x
  3. Step 3: Cross multiply
    233,947.41x = 478,960.73 × 478,960.73
  4. Step 4: Simplify right side
    233,947.41x = 229,403,385,073.04
  5. Step 5: Solve for x
    x = 229,403,385,073.04/233,947.41
  6. Step 6: Final answer
    x = 980,576.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.