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Finding the Third Proportional to 262,567 and 289,634

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Solution

The third proportional to 262,567 and 289,634 is: 319,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,567 : 289,634 = 289,634 : x
  2. Step 2: Convert to fraction form
    262,567/289,634 = 289,634/x
  3. Step 3: Cross multiply
    262,567x = 289,634 × 289,634
  4. Step 4: Simplify right side
    262,567x = 83,887,853,956
  5. Step 5: Solve for x
    x = 83,887,853,956/262,567
  6. Step 6: Final answer
    x = 319,491.23

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.