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Finding the Third Proportional to 345,978 and 748,818

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Solution

The third proportional to 345,978 and 748,818 is: 1,620,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,978 : 748,818 = 748,818 : x
  2. Step 2: Convert to fraction form
    345,978/748,818 = 748,818/x
  3. Step 3: Cross multiply
    345,978x = 748,818 × 748,818
  4. Step 4: Simplify right side
    345,978x = 560,728,397,124
  5. Step 5: Solve for x
    x = 560,728,397,124/345,978
  6. Step 6: Final answer
    x = 1,620,705.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.