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Finding the Third Proportional to 295,117 and 442,676

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Solution

The third proportional to 295,117 and 442,676 is: 664,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,117 : 442,676 = 442,676 : x
  2. Step 2: Convert to fraction form
    295,117/442,676 = 442,676/x
  3. Step 3: Cross multiply
    295,117x = 442,676 × 442,676
  4. Step 4: Simplify right side
    295,117x = 195,962,040,976
  5. Step 5: Solve for x
    x = 195,962,040,976/295,117
  6. Step 6: Final answer
    x = 664,014.75

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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.