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Finding the Third Proportional to 296,936.51 and 403,424.61

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Solution

The third proportional to 296,936.51 and 403,424.61 is: 548,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,936.51 : 403,424.61 = 403,424.61 : x
  2. Step 2: Convert to fraction form
    296,936.51/403,424.61 = 403,424.61/x
  3. Step 3: Cross multiply
    296,936.51x = 403,424.61 × 403,424.61
  4. Step 4: Simplify right side
    296,936.51x = 162,751,418,601.13
  5. Step 5: Solve for x
    x = 162,751,418,601.13/296,936.51
  6. Step 6: Final answer
    x = 548,101.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.