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Finding the Third Proportional to 442,033.14 and 675,734.59

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Solution

The third proportional to 442,033.14 and 675,734.59 is: 1,032,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,033.14 : 675,734.59 = 675,734.59 : x
  2. Step 2: Convert to fraction form
    442,033.14/675,734.59 = 675,734.59/x
  3. Step 3: Cross multiply
    442,033.14x = 675,734.59 × 675,734.59
  4. Step 4: Simplify right side
    442,033.14x = 456,617,235,911.30
  5. Step 5: Solve for x
    x = 456,617,235,911.30/442,033.14
  6. Step 6: Final answer
    x = 1,032,993.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.