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Finding the Third Proportional to 608,062.50 and 1,407,498.75

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Solution

The third proportional to 608,062.50 and 1,407,498.75 is: 3,257,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,062.50 : 1,407,498.75 = 1,407,498.75 : x
  2. Step 2: Convert to fraction form
    608,062.50/1,407,498.75 = 1,407,498.75/x
  3. Step 3: Cross multiply
    608,062.50x = 1,407,498.75 × 1,407,498.75
  4. Step 4: Simplify right side
    608,062.50x = 1,981,052,731,251.56
  5. Step 5: Solve for x
    x = 1,981,052,731,251.56/608,062.50
  6. Step 6: Final answer
    x = 3,257,975.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.