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Finding the Third Proportional to 240,066 and 523,330

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Solution

The third proportional to 240,066 and 523,330 is: 1,140,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,066 : 523,330 = 523,330 : x
  2. Step 2: Convert to fraction form
    240,066/523,330 = 523,330/x
  3. Step 3: Cross multiply
    240,066x = 523,330 × 523,330
  4. Step 4: Simplify right side
    240,066x = 273,874,288,900
  5. Step 5: Solve for x
    x = 273,874,288,900/240,066
  6. Step 6: Final answer
    x = 1,140,829.14

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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.