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Finding the Third Proportional to 295,885 and 647,126

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Solution

The third proportional to 295,885 and 647,126 is: 1,415,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,885 : 647,126 = 647,126 : x
  2. Step 2: Convert to fraction form
    295,885/647,126 = 647,126/x
  3. Step 3: Cross multiply
    295,885x = 647,126 × 647,126
  4. Step 4: Simplify right side
    295,885x = 418,772,059,876
  5. Step 5: Solve for x
    x = 418,772,059,876/295,885
  6. Step 6: Final answer
    x = 1,415,320.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.