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Finding the Third Proportional to 349,788.38 and 540,143.44

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Solution

The third proportional to 349,788.38 and 540,143.44 is: 834,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,788.38 : 540,143.44 = 540,143.44 : x
  2. Step 2: Convert to fraction form
    349,788.38/540,143.44 = 540,143.44/x
  3. Step 3: Cross multiply
    349,788.38x = 540,143.44 × 540,143.44
  4. Step 4: Simplify right side
    349,788.38x = 291,754,933,074.32
  5. Step 5: Solve for x
    x = 291,754,933,074.32/349,788.38
  6. Step 6: Final answer
    x = 834,089.85

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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.