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Finding the Third Proportional to 336,713.06 and 726,838.88

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Solution

The third proportional to 336,713.06 and 726,838.88 is: 1,568,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,713.06 : 726,838.88 = 726,838.88 : x
  2. Step 2: Convert to fraction form
    336,713.06/726,838.88 = 726,838.88/x
  3. Step 3: Cross multiply
    336,713.06x = 726,838.88 × 726,838.88
  4. Step 4: Simplify right side
    336,713.06x = 528,294,750,211.27
  5. Step 5: Solve for x
    x = 528,294,750,211.27/336,713.06
  6. Step 6: Final answer
    x = 1,568,976.11

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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.