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Finding the Third Proportional to 294,903 and 639,738

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Solution

The third proportional to 294,903 and 639,738 is: 1,387,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,903 : 639,738 = 639,738 : x
  2. Step 2: Convert to fraction form
    294,903/639,738 = 639,738/x
  3. Step 3: Cross multiply
    294,903x = 639,738 × 639,738
  4. Step 4: Simplify right side
    294,903x = 409,264,708,644
  5. Step 5: Solve for x
    x = 409,264,708,644/294,903
  6. Step 6: Final answer
    x = 1,387,794.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.