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Finding the Third Proportional to 272,922.75 and 592,233.75

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Solution

The third proportional to 272,922.75 and 592,233.75 is: 1,285,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,922.75 : 592,233.75 = 592,233.75 : x
  2. Step 2: Convert to fraction form
    272,922.75/592,233.75 = 592,233.75/x
  3. Step 3: Cross multiply
    272,922.75x = 592,233.75 × 592,233.75
  4. Step 4: Simplify right side
    272,922.75x = 350,740,814,639.06
  5. Step 5: Solve for x
    x = 350,740,814,639.06/272,922.75
  6. Step 6: Final answer
    x = 1,285,128.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.