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Finding the Third Proportional to 344,217.50 and 745,620.50

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Solution

The third proportional to 344,217.50 and 745,620.50 is: 1,615,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,217.50 : 745,620.50 = 745,620.50 : x
  2. Step 2: Convert to fraction form
    344,217.50/745,620.50 = 745,620.50/x
  3. Step 3: Cross multiply
    344,217.50x = 745,620.50 × 745,620.50
  4. Step 4: Simplify right side
    344,217.50x = 555,949,930,020.25
  5. Step 5: Solve for x
    x = 555,949,930,020.25/344,217.50
  6. Step 6: Final answer
    x = 1,615,112.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.