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Finding the Third Proportional to 336,917 and 748,570

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Solution

The third proportional to 336,917 and 748,570 is: 1,663,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,917 : 748,570 = 748,570 : x
  2. Step 2: Convert to fraction form
    336,917/748,570 = 748,570/x
  3. Step 3: Cross multiply
    336,917x = 748,570 × 748,570
  4. Step 4: Simplify right side
    336,917x = 560,357,044,900
  5. Step 5: Solve for x
    x = 560,357,044,900/336,917
  6. Step 6: Final answer
    x = 1,663,190.18

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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.