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Finding the Third Proportional to 295,380 and 442,962

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Solution

The third proportional to 295,380 and 442,962 is: 664,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,380 : 442,962 = 442,962 : x
  2. Step 2: Convert to fraction form
    295,380/442,962 = 442,962/x
  3. Step 3: Cross multiply
    295,380x = 442,962 × 442,962
  4. Step 4: Simplify right side
    295,380x = 196,215,333,444
  5. Step 5: Solve for x
    x = 196,215,333,444/295,380
  6. Step 6: Final answer
    x = 664,281.04

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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.