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Finding the Third Proportional to 294,184 and 635,012

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Solution

The third proportional to 294,184 and 635,012 is: 1,370,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,184 : 635,012 = 635,012 : x
  2. Step 2: Convert to fraction form
    294,184/635,012 = 635,012/x
  3. Step 3: Cross multiply
    294,184x = 635,012 × 635,012
  4. Step 4: Simplify right side
    294,184x = 403,240,240,144
  5. Step 5: Solve for x
    x = 403,240,240,144/294,184
  6. Step 6: Final answer
    x = 1,370,707.58

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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.