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Finding the Third Proportional to 733.43 and 1,527.77

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Solution

The third proportional to 733.43 and 1,527.77 is: 3,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.43 : 1,527.77 = 1,527.77 : x
  2. Step 2: Convert to fraction form
    733.43/1,527.77 = 1,527.77/x
  3. Step 3: Cross multiply
    733.43x = 1,527.77 × 1,527.77
  4. Step 4: Simplify right side
    733.43x = 2,334,073.77
  5. Step 5: Solve for x
    x = 2,334,073.77/733.43
  6. Step 6: Final answer
    x = 3,182.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.