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Finding the Third Proportional to 338,455.13 and 524,662.31

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Solution

The third proportional to 338,455.13 and 524,662.31 is: 813,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,455.13 : 524,662.31 = 524,662.31 : x
  2. Step 2: Convert to fraction form
    338,455.13/524,662.31 = 524,662.31/x
  3. Step 3: Cross multiply
    338,455.13x = 524,662.31 × 524,662.31
  4. Step 4: Simplify right side
    338,455.13x = 275,270,542,157.85
  5. Step 5: Solve for x
    x = 275,270,542,157.85/338,455.13
  6. Step 6: Final answer
    x = 813,314.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.