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Finding the Third Proportional to 270,774.56 and 579,976.88

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Solution

The third proportional to 270,774.56 and 579,976.88 is: 1,242,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,774.56 : 579,976.88 = 579,976.88 : x
  2. Step 2: Convert to fraction form
    270,774.56/579,976.88 = 579,976.88/x
  3. Step 3: Cross multiply
    270,774.56x = 579,976.88 × 579,976.88
  4. Step 4: Simplify right side
    270,774.56x = 336,373,175,534.77
  5. Step 5: Solve for x
    x = 336,373,175,534.77/270,774.56
  6. Step 6: Final answer
    x = 1,242,262.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.