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Finding the Third Proportional to 442,825.50 and 704,964.38

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Solution

The third proportional to 442,825.50 and 704,964.38 is: 1,122,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,825.50 : 704,964.38 = 704,964.38 : x
  2. Step 2: Convert to fraction form
    442,825.50/704,964.38 = 704,964.38/x
  3. Step 3: Cross multiply
    442,825.50x = 704,964.38 × 704,964.38
  4. Step 4: Simplify right side
    442,825.50x = 496,974,770,019.14
  5. Step 5: Solve for x
    x = 496,974,770,019.14/442,825.50
  6. Step 6: Final answer
    x = 1,122,281.28

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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.