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Finding the Third Proportional to 437,330 and 960,268

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Solution

The third proportional to 437,330 and 960,268 is: 2,108,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,330 : 960,268 = 960,268 : x
  2. Step 2: Convert to fraction form
    437,330/960,268 = 960,268/x
  3. Step 3: Cross multiply
    437,330x = 960,268 × 960,268
  4. Step 4: Simplify right side
    437,330x = 922,114,631,824
  5. Step 5: Solve for x
    x = 922,114,631,824/437,330
  6. Step 6: Final answer
    x = 2,108,509.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.