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Finding the Third Proportional to 269,041.50 and 576,720

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Solution

The third proportional to 269,041.50 and 576,720 is: 1,236,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,041.50 : 576,720 = 576,720 : x
  2. Step 2: Convert to fraction form
    269,041.50/576,720 = 576,720/x
  3. Step 3: Cross multiply
    269,041.50x = 576,720 × 576,720
  4. Step 4: Simplify right side
    269,041.50x = 332,605,958,400
  5. Step 5: Solve for x
    x = 332,605,958,400/269,041.50
  6. Step 6: Final answer
    x = 1,236,262.65

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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.