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Finding the Third Proportional to 328,344 and 711,012

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Solution

The third proportional to 328,344 and 711,012 is: 1,539,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,344 : 711,012 = 711,012 : x
  2. Step 2: Convert to fraction form
    328,344/711,012 = 711,012/x
  3. Step 3: Cross multiply
    328,344x = 711,012 × 711,012
  4. Step 4: Simplify right side
    328,344x = 505,538,064,144
  5. Step 5: Solve for x
    x = 505,538,064,144/328,344
  6. Step 6: Final answer
    x = 1,539,659.82

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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.