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Finding the Third Proportional to 294,331 and 635,718

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Solution

The third proportional to 294,331 and 635,718 is: 1,373,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,331 : 635,718 = 635,718 : x
  2. Step 2: Convert to fraction form
    294,331/635,718 = 635,718/x
  3. Step 3: Cross multiply
    294,331x = 635,718 × 635,718
  4. Step 4: Simplify right side
    294,331x = 404,137,375,524
  5. Step 5: Solve for x
    x = 404,137,375,524/294,331
  6. Step 6: Final answer
    x = 1,373,071.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.