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Finding the Third Proportional to 295,111.69 and 442,671.75

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Solution

The third proportional to 295,111.69 and 442,671.75 is: 664,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,111.69 : 442,671.75 = 442,671.75 : x
  2. Step 2: Convert to fraction form
    295,111.69/442,671.75 = 442,671.75/x
  3. Step 3: Cross multiply
    295,111.69x = 442,671.75 × 442,671.75
  4. Step 4: Simplify right side
    295,111.69x = 195,958,278,248.06
  5. Step 5: Solve for x
    x = 195,958,278,248.06/295,111.69
  6. Step 6: Final answer
    x = 664,013.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.