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Finding the Third Proportional to 276,777.66 and 596,004.28

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Solution

The third proportional to 276,777.66 and 596,004.28 is: 1,283,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,777.66 : 596,004.28 = 596,004.28 : x
  2. Step 2: Convert to fraction form
    276,777.66/596,004.28 = 596,004.28/x
  3. Step 3: Cross multiply
    276,777.66x = 596,004.28 × 596,004.28
  4. Step 4: Simplify right side
    276,777.66x = 355,221,103,268.33
  5. Step 5: Solve for x
    x = 355,221,103,268.33/276,777.66
  6. Step 6: Final answer
    x = 1,283,416.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.