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Finding the Third Proportional to 311,192 and 633,798

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Solution

The third proportional to 311,192 and 633,798 is: 1,290,842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,192 : 633,798 = 633,798 : x
  2. Step 2: Convert to fraction form
    311,192/633,798 = 633,798/x
  3. Step 3: Cross multiply
    311,192x = 633,798 × 633,798
  4. Step 4: Simplify right side
    311,192x = 401,699,904,804
  5. Step 5: Solve for x
    x = 401,699,904,804/311,192
  6. Step 6: Final answer
    x = 1,290,842.65

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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.