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Finding the Third Proportional to 336,481 and 517,194

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Solution

The third proportional to 336,481 and 517,194 is: 794,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,481 : 517,194 = 517,194 : x
  2. Step 2: Convert to fraction form
    336,481/517,194 = 517,194/x
  3. Step 3: Cross multiply
    336,481x = 517,194 × 517,194
  4. Step 4: Simplify right side
    336,481x = 267,489,633,636
  5. Step 5: Solve for x
    x = 267,489,633,636/336,481
  6. Step 6: Final answer
    x = 794,962.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.