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Finding the Third Proportional to 207,976.50 and 425,787

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Solution

The third proportional to 207,976.50 and 425,787 is: 871,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,976.50 : 425,787 = 425,787 : x
  2. Step 2: Convert to fraction form
    207,976.50/425,787 = 425,787/x
  3. Step 3: Cross multiply
    207,976.50x = 425,787 × 425,787
  4. Step 4: Simplify right side
    207,976.50x = 181,294,569,369
  5. Step 5: Solve for x
    x = 181,294,569,369/207,976.50
  6. Step 6: Final answer
    x = 871,706.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.