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Finding the Third Proportional to 268,277.56 and 568,536.63

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Solution

The third proportional to 268,277.56 and 568,536.63 is: 1,204,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,277.56 : 568,536.63 = 568,536.63 : x
  2. Step 2: Convert to fraction form
    268,277.56/568,536.63 = 568,536.63/x
  3. Step 3: Cross multiply
    268,277.56x = 568,536.63 × 568,536.63
  4. Step 4: Simplify right side
    268,277.56x = 323,233,893,966.39
  5. Step 5: Solve for x
    x = 323,233,893,966.39/268,277.56
  6. Step 6: Final answer
    x = 1,204,848.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.