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Finding the Third Proportional to 276,726.38 and 577,054.13

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Solution

The third proportional to 276,726.38 and 577,054.13 is: 1,203,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,726.38 : 577,054.13 = 577,054.13 : x
  2. Step 2: Convert to fraction form
    276,726.38/577,054.13 = 577,054.13/x
  3. Step 3: Cross multiply
    276,726.38x = 577,054.13 × 577,054.13
  4. Step 4: Simplify right side
    276,726.38x = 332,991,463,179.52
  5. Step 5: Solve for x
    x = 332,991,463,179.52/276,726.38
  6. Step 6: Final answer
    x = 1,203,323.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.