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Finding the Third Proportional to 262,074 and 566,991

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Solution

The third proportional to 262,074 and 566,991 is: 1,226,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,074 : 566,991 = 566,991 : x
  2. Step 2: Convert to fraction form
    262,074/566,991 = 566,991/x
  3. Step 3: Cross multiply
    262,074x = 566,991 × 566,991
  4. Step 4: Simplify right side
    262,074x = 321,478,794,081
  5. Step 5: Solve for x
    x = 321,478,794,081/262,074
  6. Step 6: Final answer
    x = 1,226,671.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.