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Finding the Third Proportional to 295,338 and 442,910

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Solution

The third proportional to 295,338 and 442,910 is: 664,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,338 : 442,910 = 442,910 : x
  2. Step 2: Convert to fraction form
    295,338/442,910 = 442,910/x
  3. Step 3: Cross multiply
    295,338x = 442,910 × 442,910
  4. Step 4: Simplify right side
    295,338x = 196,169,268,100
  5. Step 5: Solve for x
    x = 196,169,268,100/295,338
  6. Step 6: Final answer
    x = 664,219.53

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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.