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Finding the Third Proportional to 338,083 and 483,427

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Solution

The third proportional to 338,083 and 483,427 is: 691,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,083 : 483,427 = 483,427 : x
  2. Step 2: Convert to fraction form
    338,083/483,427 = 483,427/x
  3. Step 3: Cross multiply
    338,083x = 483,427 × 483,427
  4. Step 4: Simplify right side
    338,083x = 233,701,664,329
  5. Step 5: Solve for x
    x = 233,701,664,329/338,083
  6. Step 6: Final answer
    x = 691,255.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.