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Finding the Third Proportional to 272,085.75 and 576,582.75

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Solution

The third proportional to 272,085.75 and 576,582.75 is: 1,221,848.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,085.75 : 576,582.75 = 576,582.75 : x
  2. Step 2: Convert to fraction form
    272,085.75/576,582.75 = 576,582.75/x
  3. Step 3: Cross multiply
    272,085.75x = 576,582.75 × 576,582.75
  4. Step 4: Simplify right side
    272,085.75x = 332,447,667,597.56
  5. Step 5: Solve for x
    x = 332,447,667,597.56/272,085.75
  6. Step 6: Final answer
    x = 1,221,848.88

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