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Finding the Third Proportional to 295,239 and 442,782

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Solution

The third proportional to 295,239 and 442,782 is: 664,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,239 : 442,782 = 442,782 : x
  2. Step 2: Convert to fraction form
    295,239/442,782 = 442,782/x
  3. Step 3: Cross multiply
    295,239x = 442,782 × 442,782
  4. Step 4: Simplify right side
    295,239x = 196,055,899,524
  5. Step 5: Solve for x
    x = 196,055,899,524/295,239
  6. Step 6: Final answer
    x = 664,058.27

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