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Finding the Third Proportional to 342,980 and 753,840

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Solution

The third proportional to 342,980 and 753,840 is: 1,656,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,980 : 753,840 = 753,840 : x
  2. Step 2: Convert to fraction form
    342,980/753,840 = 753,840/x
  3. Step 3: Cross multiply
    342,980x = 753,840 × 753,840
  4. Step 4: Simplify right side
    342,980x = 568,274,745,600
  5. Step 5: Solve for x
    x = 568,274,745,600/342,980
  6. Step 6: Final answer
    x = 1,656,874.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.