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Finding the Third Proportional to 311,838 and 660,483

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Solution

The third proportional to 311,838 and 660,483 is: 1,398,924.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838 : 660,483 = 660,483 : x
  2. Step 2: Convert to fraction form
    311,838/660,483 = 660,483/x
  3. Step 3: Cross multiply
    311,838x = 660,483 × 660,483
  4. Step 4: Simplify right side
    311,838x = 436,237,793,289
  5. Step 5: Solve for x
    x = 436,237,793,289/311,838
  6. Step 6: Final answer
    x = 1,398,924.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.