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Finding the Third Proportional to 336,694 and 748,126

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Solution

The third proportional to 336,694 and 748,126 is: 1,662,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,694 : 748,126 = 748,126 : x
  2. Step 2: Convert to fraction form
    336,694/748,126 = 748,126/x
  3. Step 3: Cross multiply
    336,694x = 748,126 × 748,126
  4. Step 4: Simplify right side
    336,694x = 559,692,511,876
  5. Step 5: Solve for x
    x = 559,692,511,876/336,694
  6. Step 6: Final answer
    x = 1,662,318.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.