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Finding the Third Proportional to 268,921.27 and 577,800.84

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Solution

The third proportional to 268,921.27 and 577,800.84 is: 1,241,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,921.27 : 577,800.84 = 577,800.84 : x
  2. Step 2: Convert to fraction form
    268,921.27/577,800.84 = 577,800.84/x
  3. Step 3: Cross multiply
    268,921.27x = 577,800.84 × 577,800.84
  4. Step 4: Simplify right side
    268,921.27x = 333,853,815,038.21
  5. Step 5: Solve for x
    x = 333,853,815,038.21/268,921.27
  6. Step 6: Final answer
    x = 1,241,455.61

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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.