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Finding the Third Proportional to 294,093 and 636,299

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Solution

The third proportional to 294,093 and 636,299 is: 1,376,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,093 : 636,299 = 636,299 : x
  2. Step 2: Convert to fraction form
    294,093/636,299 = 636,299/x
  3. Step 3: Cross multiply
    294,093x = 636,299 × 636,299
  4. Step 4: Simplify right side
    294,093x = 404,876,417,401
  5. Step 5: Solve for x
    x = 404,876,417,401/294,093
  6. Step 6: Final answer
    x = 1,376,695.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.