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Finding the Third Proportional to 207,964 and 425,761

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Solution

The third proportional to 207,964 and 425,761 is: 871,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,964 : 425,761 = 425,761 : x
  2. Step 2: Convert to fraction form
    207,964/425,761 = 425,761/x
  3. Step 3: Cross multiply
    207,964x = 425,761 × 425,761
  4. Step 4: Simplify right side
    207,964x = 181,272,429,121
  5. Step 5: Solve for x
    x = 181,272,429,121/207,964
  6. Step 6: Final answer
    x = 871,652.93

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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.