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Finding the Third Proportional to 336,001.50 and 703,120.50

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Solution

The third proportional to 336,001.50 and 703,120.50 is: 1,471,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,001.50 : 703,120.50 = 703,120.50 : x
  2. Step 2: Convert to fraction form
    336,001.50/703,120.50 = 703,120.50/x
  3. Step 3: Cross multiply
    336,001.50x = 703,120.50 × 703,120.50
  4. Step 4: Simplify right side
    336,001.50x = 494,378,437,520.25
  5. Step 5: Solve for x
    x = 494,378,437,520.25/336,001.50
  6. Step 6: Final answer
    x = 1,471,357.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.