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Finding the Third Proportional to 336,317 and 738,163

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Solution

The third proportional to 336,317 and 738,163 is: 1,620,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,317 : 738,163 = 738,163 : x
  2. Step 2: Convert to fraction form
    336,317/738,163 = 738,163/x
  3. Step 3: Cross multiply
    336,317x = 738,163 × 738,163
  4. Step 4: Simplify right side
    336,317x = 544,884,614,569
  5. Step 5: Solve for x
    x = 544,884,614,569/336,317
  6. Step 6: Final answer
    x = 1,620,151.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.