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Finding the Third Proportional to 442,037.25 and 675,742.50

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Solution

The third proportional to 442,037.25 and 675,742.50 is: 1,033,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,037.25 : 675,742.50 = 675,742.50 : x
  2. Step 2: Convert to fraction form
    442,037.25/675,742.50 = 675,742.50/x
  3. Step 3: Cross multiply
    442,037.25x = 675,742.50 × 675,742.50
  4. Step 4: Simplify right side
    442,037.25x = 456,627,926,306.25
  5. Step 5: Solve for x
    x = 456,627,926,306.25/442,037.25
  6. Step 6: Final answer
    x = 1,033,007.80

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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.