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Finding the Third Proportional to 262,072 and 566,989

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Solution

The third proportional to 262,072 and 566,989 is: 1,226,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,072 : 566,989 = 566,989 : x
  2. Step 2: Convert to fraction form
    262,072/566,989 = 566,989/x
  3. Step 3: Cross multiply
    262,072x = 566,989 × 566,989
  4. Step 4: Simplify right side
    262,072x = 321,476,526,121
  5. Step 5: Solve for x
    x = 321,476,526,121/262,072
  6. Step 6: Final answer
    x = 1,226,672.54

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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.