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Finding the Third Proportional to 472,731.75 and 707,424.75

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Solution

The third proportional to 472,731.75 and 707,424.75 is: 1,058,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,731.75 : 707,424.75 = 707,424.75 : x
  2. Step 2: Convert to fraction form
    472,731.75/707,424.75 = 707,424.75/x
  3. Step 3: Cross multiply
    472,731.75x = 707,424.75 × 707,424.75
  4. Step 4: Simplify right side
    472,731.75x = 500,449,776,912.56
  5. Step 5: Solve for x
    x = 500,449,776,912.56/472,731.75
  6. Step 6: Final answer
    x = 1,058,633.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.