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Finding the Third Proportional to 305,947.13 and 662,731.88

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Solution

The third proportional to 305,947.13 and 662,731.88 is: 1,435,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,947.13 : 662,731.88 = 662,731.88 : x
  2. Step 2: Convert to fraction form
    305,947.13/662,731.88 = 662,731.88/x
  3. Step 3: Cross multiply
    305,947.13x = 662,731.88 × 662,731.88
  4. Step 4: Simplify right side
    305,947.13x = 439,213,538,141.02
  5. Step 5: Solve for x
    x = 439,213,538,141.02/305,947.13
  6. Step 6: Final answer
    x = 1,435,586.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.