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Finding the Third Proportional to 725,676.75 and 1,088,788.50

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Solution

The third proportional to 725,676.75 and 1,088,788.50 is: 1,633,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,676.75 : 1,088,788.50 = 1,088,788.50 : x
  2. Step 2: Convert to fraction form
    725,676.75/1,088,788.50 = 1,088,788.50/x
  3. Step 3: Cross multiply
    725,676.75x = 1,088,788.50 × 1,088,788.50
  4. Step 4: Simplify right side
    725,676.75x = 1,185,460,397,732.25
  5. Step 5: Solve for x
    x = 1,185,460,397,732.25/725,676.75
  6. Step 6: Final answer
    x = 1,633,592.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.