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Finding the Third Proportional to 323,729.79 and 704,932.88

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Solution

The third proportional to 323,729.79 and 704,932.88 is: 1,535,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,729.79 : 704,932.88 = 704,932.88 : x
  2. Step 2: Convert to fraction form
    323,729.79/704,932.88 = 704,932.88/x
  3. Step 3: Cross multiply
    323,729.79x = 704,932.88 × 704,932.88
  4. Step 4: Simplify right side
    323,729.79x = 496,930,358,255.77
  5. Step 5: Solve for x
    x = 496,930,358,255.77/323,729.79
  6. Step 6: Final answer
    x = 1,535,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.