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Finding the Third Proportional to 336,098.25 and 725,679.75

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Solution

The third proportional to 336,098.25 and 725,679.75 is: 1,566,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,098.25 : 725,679.75 = 725,679.75 : x
  2. Step 2: Convert to fraction form
    336,098.25/725,679.75 = 725,679.75/x
  3. Step 3: Cross multiply
    336,098.25x = 725,679.75 × 725,679.75
  4. Step 4: Simplify right side
    336,098.25x = 526,611,099,560.06
  5. Step 5: Solve for x
    x = 526,611,099,560.06/336,098.25
  6. Step 6: Final answer
    x = 1,566,836.78

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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.