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Finding the Third Proportional to 267,243.75 and 576,262.13

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Solution

The third proportional to 267,243.75 and 576,262.13 is: 1,242,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,243.75 : 576,262.13 = 576,262.13 : x
  2. Step 2: Convert to fraction form
    267,243.75/576,262.13 = 576,262.13/x
  3. Step 3: Cross multiply
    267,243.75x = 576,262.13 × 576,262.13
  4. Step 4: Simplify right side
    267,243.75x = 332,078,036,709.52
  5. Step 5: Solve for x
    x = 332,078,036,709.52/267,243.75
  6. Step 6: Final answer
    x = 1,242,603.57

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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.