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Finding the Third Proportional to 276,291.38 and 610,653

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Solution

The third proportional to 276,291.38 and 610,653 is: 1,349,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,291.38 : 610,653 = 610,653 : x
  2. Step 2: Convert to fraction form
    276,291.38/610,653 = 610,653/x
  3. Step 3: Cross multiply
    276,291.38x = 610,653 × 610,653
  4. Step 4: Simplify right side
    276,291.38x = 372,897,086,409
  5. Step 5: Solve for x
    x = 372,897,086,409/276,291.38
  6. Step 6: Final answer
    x = 1,349,651.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.