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Finding the Third Proportional to 295,332 and 442,902

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Solution

The third proportional to 295,332 and 442,902 is: 664,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,332 : 442,902 = 442,902 : x
  2. Step 2: Convert to fraction form
    295,332/442,902 = 442,902/x
  3. Step 3: Cross multiply
    295,332x = 442,902 × 442,902
  4. Step 4: Simplify right side
    295,332x = 196,162,181,604
  5. Step 5: Solve for x
    x = 196,162,181,604/295,332
  6. Step 6: Final answer
    x = 664,209.03

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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.