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Finding the Third Proportional to 311,913 and 472,274

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Solution

The third proportional to 311,913 and 472,274 is: 715,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,913 : 472,274 = 472,274 : x
  2. Step 2: Convert to fraction form
    311,913/472,274 = 472,274/x
  3. Step 3: Cross multiply
    311,913x = 472,274 × 472,274
  4. Step 4: Simplify right side
    311,913x = 223,042,731,076
  5. Step 5: Solve for x
    x = 223,042,731,076/311,913
  6. Step 6: Final answer
    x = 715,079.95

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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.