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Finding the Third Proportional to 272,089.13 and 566,508.94

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Solution

The third proportional to 272,089.13 and 566,508.94 is: 1,179,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,089.13 : 566,508.94 = 566,508.94 : x
  2. Step 2: Convert to fraction form
    272,089.13/566,508.94 = 566,508.94/x
  3. Step 3: Cross multiply
    272,089.13x = 566,508.94 × 566,508.94
  4. Step 4: Simplify right side
    272,089.13x = 320,932,376,267.38
  5. Step 5: Solve for x
    x = 320,932,376,267.38/272,089.13
  6. Step 6: Final answer
    x = 1,179,511.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.