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Finding the Third Proportional to 342,978 and 753,833

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Solution

The third proportional to 342,978 and 753,833 is: 1,656,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,978 : 753,833 = 753,833 : x
  2. Step 2: Convert to fraction form
    342,978/753,833 = 753,833/x
  3. Step 3: Cross multiply
    342,978x = 753,833 × 753,833
  4. Step 4: Simplify right side
    342,978x = 568,264,191,889
  5. Step 5: Solve for x
    x = 568,264,191,889/342,978
  6. Step 6: Final answer
    x = 1,656,853.19

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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.