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Finding the Third Proportional to 269,139.75 and 576,903

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Solution

The third proportional to 269,139.75 and 576,903 is: 1,236,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,139.75 : 576,903 = 576,903 : x
  2. Step 2: Convert to fraction form
    269,139.75/576,903 = 576,903/x
  3. Step 3: Cross multiply
    269,139.75x = 576,903 × 576,903
  4. Step 4: Simplify right side
    269,139.75x = 332,817,071,409
  5. Step 5: Solve for x
    x = 332,817,071,409/269,139.75
  6. Step 6: Final answer
    x = 1,236,595.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.