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Finding the Third Proportional to 207,997.88 and 425,827.13

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Solution

The third proportional to 207,997.88 and 425,827.13 is: 871,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,997.88 : 425,827.13 = 425,827.13 : x
  2. Step 2: Convert to fraction form
    207,997.88/425,827.13 = 425,827.13/x
  3. Step 3: Cross multiply
    207,997.88x = 425,827.13 × 425,827.13
  4. Step 4: Simplify right side
    207,997.88x = 181,328,740,385.77
  5. Step 5: Solve for x
    x = 181,328,740,385.77/207,997.88
  6. Step 6: Final answer
    x = 871,781.70

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