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Finding the Third Proportional to 295,186 and 633,374

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Solution

The third proportional to 295,186 and 633,374 is: 1,359,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,186 : 633,374 = 633,374 : x
  2. Step 2: Convert to fraction form
    295,186/633,374 = 633,374/x
  3. Step 3: Cross multiply
    295,186x = 633,374 × 633,374
  4. Step 4: Simplify right side
    295,186x = 401,162,623,876
  5. Step 5: Solve for x
    x = 401,162,623,876/295,186
  6. Step 6: Final answer
    x = 1,359,016.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.