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Finding the Third Proportional to 338,098.50 and 523,244.25

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Solution

The third proportional to 338,098.50 and 523,244.25 is: 809,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,098.50 : 523,244.25 = 523,244.25 : x
  2. Step 2: Convert to fraction form
    338,098.50/523,244.25 = 523,244.25/x
  3. Step 3: Cross multiply
    338,098.50x = 523,244.25 × 523,244.25
  4. Step 4: Simplify right side
    338,098.50x = 273,784,545,158.06
  5. Step 5: Solve for x
    x = 273,784,545,158.06/338,098.50
  6. Step 6: Final answer
    x = 809,777.46

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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.