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Finding the Third Proportional to 336,960 and 748,644

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Solution

The third proportional to 336,960 and 748,644 is: 1,663,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,960 : 748,644 = 748,644 : x
  2. Step 2: Convert to fraction form
    336,960/748,644 = 748,644/x
  3. Step 3: Cross multiply
    336,960x = 748,644 × 748,644
  4. Step 4: Simplify right side
    336,960x = 560,467,838,736
  5. Step 5: Solve for x
    x = 560,467,838,736/336,960
  6. Step 6: Final answer
    x = 1,663,306.74

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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.