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Finding the Third Proportional to 442,800 and 704,927.25

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Solution

The third proportional to 442,800 and 704,927.25 is: 1,122,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,800 : 704,927.25 = 704,927.25 : x
  2. Step 2: Convert to fraction form
    442,800/704,927.25 = 704,927.25/x
  3. Step 3: Cross multiply
    442,800x = 704,927.25 × 704,927.25
  4. Step 4: Simplify right side
    442,800x = 496,922,427,792.56
  5. Step 5: Solve for x
    x = 496,922,427,792.56/442,800
  6. Step 6: Final answer
    x = 1,122,227.71

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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.