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Finding the Third Proportional to 342,842 and 522,967

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Solution

The third proportional to 342,842 and 522,967 is: 797,727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,842 : 522,967 = 522,967 : x
  2. Step 2: Convert to fraction form
    342,842/522,967 = 522,967/x
  3. Step 3: Cross multiply
    342,842x = 522,967 × 522,967
  4. Step 4: Simplify right side
    342,842x = 273,494,483,089
  5. Step 5: Solve for x
    x = 273,494,483,089/342,842
  6. Step 6: Final answer
    x = 797,727.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.