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Finding the Third Proportional to 272,940 and 401,608

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Solution

The third proportional to 272,940 and 401,608 is: 590,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,940 : 401,608 = 401,608 : x
  2. Step 2: Convert to fraction form
    272,940/401,608 = 401,608/x
  3. Step 3: Cross multiply
    272,940x = 401,608 × 401,608
  4. Step 4: Simplify right side
    272,940x = 161,288,985,664
  5. Step 5: Solve for x
    x = 161,288,985,664/272,940
  6. Step 6: Final answer
    x = 590,932.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.