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Finding the Third Proportional to 700,138.50 and 1,086,207.75

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Solution

The third proportional to 700,138.50 and 1,086,207.75 is: 1,685,162.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,138.50 : 1,086,207.75 = 1,086,207.75 : x
  2. Step 2: Convert to fraction form
    700,138.50/1,086,207.75 = 1,086,207.75/x
  3. Step 3: Cross multiply
    700,138.50x = 1,086,207.75 × 1,086,207.75
  4. Step 4: Simplify right side
    700,138.50x = 1,179,847,276,160.06
  5. Step 5: Solve for x
    x = 1,179,847,276,160.06/700,138.50
  6. Step 6: Final answer
    x = 1,685,162.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.