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Finding the Third Proportional to 293,461.31 and 466,818.75

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Solution

The third proportional to 293,461.31 and 466,818.75 is: 742,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,461.31 : 466,818.75 = 466,818.75 : x
  2. Step 2: Convert to fraction form
    293,461.31/466,818.75 = 466,818.75/x
  3. Step 3: Cross multiply
    293,461.31x = 466,818.75 × 466,818.75
  4. Step 4: Simplify right side
    293,461.31x = 217,919,745,351.56
  5. Step 5: Solve for x
    x = 217,919,745,351.56/293,461.31
  6. Step 6: Final answer
    x = 742,584.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.