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Finding the Third Proportional to 207,995 and 425,844

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Solution

The third proportional to 207,995 and 425,844 is: 871,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,995 : 425,844 = 425,844 : x
  2. Step 2: Convert to fraction form
    207,995/425,844 = 425,844/x
  3. Step 3: Cross multiply
    207,995x = 425,844 × 425,844
  4. Step 4: Simplify right side
    207,995x = 181,343,112,336
  5. Step 5: Solve for x
    x = 181,343,112,336/207,995
  6. Step 6: Final answer
    x = 871,862.84

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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.