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Finding the Third Proportional to 325,466,343 and 491,226,174

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Solution

The third proportional to 325,466,343 and 491,226,174 is: 741,407,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,343 : 491,226,174 = 491,226,174 : x
  2. Step 2: Convert to fraction form
    325,466,343/491,226,174 = 491,226,174/x
  3. Step 3: Cross multiply
    325,466,343x = 491,226,174 × 491,226,174
  4. Step 4: Simplify right side
    325,466,343x = 241,303,154,022,678,272
  5. Step 5: Solve for x
    x = 241,303,154,022,678,272/325,466,343
  6. Step 6: Final answer
    x = 741,407,396.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.