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Finding the Third Proportional to 300,211.31 and 464,342.63

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Solution

The third proportional to 300,211.31 and 464,342.63 is: 718,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,211.31 : 464,342.63 = 464,342.63 : x
  2. Step 2: Convert to fraction form
    300,211.31/464,342.63 = 464,342.63/x
  3. Step 3: Cross multiply
    300,211.31x = 464,342.63 × 464,342.63
  4. Step 4: Simplify right side
    300,211.31x = 215,614,073,391.89
  5. Step 5: Solve for x
    x = 215,614,073,391.89/300,211.31
  6. Step 6: Final answer
    x = 718,207.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.