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Finding the Third Proportional to 565,142 and 848,978

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Solution

The third proportional to 565,142 and 848,978 is: 1,275,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,142 : 848,978 = 848,978 : x
  2. Step 2: Convert to fraction form
    565,142/848,978 = 848,978/x
  3. Step 3: Cross multiply
    565,142x = 848,978 × 848,978
  4. Step 4: Simplify right side
    565,142x = 720,763,644,484
  5. Step 5: Solve for x
    x = 720,763,644,484/565,142
  6. Step 6: Final answer
    x = 1,275,367.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.