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Finding the Third Proportional to 366,851.53 and 482,408.16

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Solution

The third proportional to 366,851.53 and 482,408.16 is: 634,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,851.53 : 482,408.16 = 482,408.16 : x
  2. Step 2: Convert to fraction form
    366,851.53/482,408.16 = 482,408.16/x
  3. Step 3: Cross multiply
    366,851.53x = 482,408.16 × 482,408.16
  4. Step 4: Simplify right side
    366,851.53x = 232,717,629,216.52
  5. Step 5: Solve for x
    x = 232,717,629,216.52/366,851.53
  6. Step 6: Final answer
    x = 634,364.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.