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Finding the Third Proportional to 272,327.06 and 577,049.06

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Solution

The third proportional to 272,327.06 and 577,049.06 is: 1,222,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,327.06 : 577,049.06 = 577,049.06 : x
  2. Step 2: Convert to fraction form
    272,327.06/577,049.06 = 577,049.06/x
  3. Step 3: Cross multiply
    272,327.06x = 577,049.06 × 577,049.06
  4. Step 4: Simplify right side
    272,327.06x = 332,985,620,532.13
  5. Step 5: Solve for x
    x = 332,985,620,532.13/272,327.06
  6. Step 6: Final answer
    x = 1,222,741.57

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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.