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Finding the Third Proportional to 294,347 and 635,745

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Solution

The third proportional to 294,347 and 635,745 is: 1,373,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,347 : 635,745 = 635,745 : x
  2. Step 2: Convert to fraction form
    294,347/635,745 = 635,745/x
  3. Step 3: Cross multiply
    294,347x = 635,745 × 635,745
  4. Step 4: Simplify right side
    294,347x = 404,171,705,025
  5. Step 5: Solve for x
    x = 404,171,705,025/294,347
  6. Step 6: Final answer
    x = 1,373,113.04

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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.