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Finding the Third Proportional to 207,966 and 425,784

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Solution

The third proportional to 207,966 and 425,784 is: 871,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966 : 425,784 = 425,784 : x
  2. Step 2: Convert to fraction form
    207,966/425,784 = 425,784/x
  3. Step 3: Cross multiply
    207,966x = 425,784 × 425,784
  4. Step 4: Simplify right side
    207,966x = 181,292,014,656
  5. Step 5: Solve for x
    x = 181,292,014,656/207,966
  6. Step 6: Final answer
    x = 871,738.72

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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.