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Finding the Third Proportional to 294,180 and 635,008

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Solution

The third proportional to 294,180 and 635,008 is: 1,370,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,180 : 635,008 = 635,008 : x
  2. Step 2: Convert to fraction form
    294,180/635,008 = 635,008/x
  3. Step 3: Cross multiply
    294,180x = 635,008 × 635,008
  4. Step 4: Simplify right side
    294,180x = 403,235,160,064
  5. Step 5: Solve for x
    x = 403,235,160,064/294,180
  6. Step 6: Final answer
    x = 1,370,708.95

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