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Finding the Third Proportional to 241,632 and 523,086

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Solution

The third proportional to 241,632 and 523,086 is: 1,132,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,632 : 523,086 = 523,086 : x
  2. Step 2: Convert to fraction form
    241,632/523,086 = 523,086/x
  3. Step 3: Cross multiply
    241,632x = 523,086 × 523,086
  4. Step 4: Simplify right side
    241,632x = 273,618,963,396
  5. Step 5: Solve for x
    x = 273,618,963,396/241,632
  6. Step 6: Final answer
    x = 1,132,378.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.