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Finding the Third Proportional to 241,734 and 523,644

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Solution

The third proportional to 241,734 and 523,644 is: 1,134,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,734 : 523,644 = 523,644 : x
  2. Step 2: Convert to fraction form
    241,734/523,644 = 523,644/x
  3. Step 3: Cross multiply
    241,734x = 523,644 × 523,644
  4. Step 4: Simplify right side
    241,734x = 274,203,038,736
  5. Step 5: Solve for x
    x = 274,203,038,736/241,734
  6. Step 6: Final answer
    x = 1,134,317.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.