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Finding the Third Proportional to 442,816.50 and 704,950.88

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Solution

The third proportional to 442,816.50 and 704,950.88 is: 1,122,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,816.50 : 704,950.88 = 704,950.88 : x
  2. Step 2: Convert to fraction form
    442,816.50/704,950.88 = 704,950.88/x
  3. Step 3: Cross multiply
    442,816.50x = 704,950.88 × 704,950.88
  4. Step 4: Simplify right side
    442,816.50x = 496,955,736,163.27
  5. Step 5: Solve for x
    x = 496,955,736,163.27/442,816.50
  6. Step 6: Final answer
    x = 1,122,261.11

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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.