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Finding the Third Proportional to 311,175 and 633,763.50

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Solution

The third proportional to 311,175 and 633,763.50 is: 1,290,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,175 : 633,763.50 = 633,763.50 : x
  2. Step 2: Convert to fraction form
    311,175/633,763.50 = 633,763.50/x
  3. Step 3: Cross multiply
    311,175x = 633,763.50 × 633,763.50
  4. Step 4: Simplify right side
    311,175x = 401,656,173,932.25
  5. Step 5: Solve for x
    x = 401,656,173,932.25/311,175
  6. Step 6: Final answer
    x = 1,290,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.