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Finding the Third Proportional to 235,550 and 523,344

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Solution

The third proportional to 235,550 and 523,344 is: 1,162,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,550 : 523,344 = 523,344 : x
  2. Step 2: Convert to fraction form
    235,550/523,344 = 523,344/x
  3. Step 3: Cross multiply
    235,550x = 523,344 × 523,344
  4. Step 4: Simplify right side
    235,550x = 273,888,942,336
  5. Step 5: Solve for x
    x = 273,888,942,336/235,550
  6. Step 6: Final answer
    x = 1,162,763.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.