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Finding the Third Proportional to 347,168 and 721,978

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Solution

The third proportional to 347,168 and 721,978 is: 1,501,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,168 : 721,978 = 721,978 : x
  2. Step 2: Convert to fraction form
    347,168/721,978 = 721,978/x
  3. Step 3: Cross multiply
    347,168x = 721,978 × 721,978
  4. Step 4: Simplify right side
    347,168x = 521,252,232,484
  5. Step 5: Solve for x
    x = 521,252,232,484/347,168
  6. Step 6: Final answer
    x = 1,501,440.89

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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.