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Finding the Third Proportional to 442,829.25 and 704,970.75

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Solution

The third proportional to 442,829.25 and 704,970.75 is: 1,122,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,829.25 : 704,970.75 = 704,970.75 : x
  2. Step 2: Convert to fraction form
    442,829.25/704,970.75 = 704,970.75/x
  3. Step 3: Cross multiply
    442,829.25x = 704,970.75 × 704,970.75
  4. Step 4: Simplify right side
    442,829.25x = 496,983,758,355.56
  5. Step 5: Solve for x
    x = 496,983,758,355.56/442,829.25
  6. Step 6: Final answer
    x = 1,122,292.08

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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.