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Finding the Third Proportional to 294,337 and 635,710

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Solution

The third proportional to 294,337 and 635,710 is: 1,373,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,337 : 635,710 = 635,710 : x
  2. Step 2: Convert to fraction form
    294,337/635,710 = 635,710/x
  3. Step 3: Cross multiply
    294,337x = 635,710 × 635,710
  4. Step 4: Simplify right side
    294,337x = 404,127,204,100
  5. Step 5: Solve for x
    x = 404,127,204,100/294,337
  6. Step 6: Final answer
    x = 1,373,008.50

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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.