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Finding the Third Proportional to 349,732.69 and 540,062.44

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Solution

The third proportional to 349,732.69 and 540,062.44 is: 833,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,732.69 : 540,062.44 = 540,062.44 : x
  2. Step 2: Convert to fraction form
    349,732.69/540,062.44 = 540,062.44/x
  3. Step 3: Cross multiply
    349,732.69x = 540,062.44 × 540,062.44
  4. Step 4: Simplify right side
    349,732.69x = 291,667,436,398.44
  5. Step 5: Solve for x
    x = 291,667,436,398.44/349,732.69
  6. Step 6: Final answer
    x = 833,972.48

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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.