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Finding the Third Proportional to 311,941 and 472,313

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Solution

The third proportional to 311,941 and 472,313 is: 715,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941 : 472,313 = 472,313 : x
  2. Step 2: Convert to fraction form
    311,941/472,313 = 472,313/x
  3. Step 3: Cross multiply
    311,941x = 472,313 × 472,313
  4. Step 4: Simplify right side
    311,941x = 223,079,569,969
  5. Step 5: Solve for x
    x = 223,079,569,969/311,941
  6. Step 6: Final answer
    x = 715,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.