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Finding the Third Proportional to 240,062 and 523,322

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Solution

The third proportional to 240,062 and 523,322 is: 1,140,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,062 : 523,322 = 523,322 : x
  2. Step 2: Convert to fraction form
    240,062/523,322 = 523,322/x
  3. Step 3: Cross multiply
    240,062x = 523,322 × 523,322
  4. Step 4: Simplify right side
    240,062x = 273,865,915,684
  5. Step 5: Solve for x
    x = 273,865,915,684/240,062
  6. Step 6: Final answer
    x = 1,140,813.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.