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Finding the Third Proportional to 252,665.30 and 547,346.67

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Solution

The third proportional to 252,665.30 and 547,346.67 is: 1,185,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,665.30 : 547,346.67 = 547,346.67 : x
  2. Step 2: Convert to fraction form
    252,665.30/547,346.67 = 547,346.67/x
  3. Step 3: Cross multiply
    252,665.30x = 547,346.67 × 547,346.67
  4. Step 4: Simplify right side
    252,665.30x = 299,588,379,212.64
  5. Step 5: Solve for x
    x = 299,588,379,212.64/252,665.30
  6. Step 6: Final answer
    x = 1,185,712.41

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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.