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Finding the Third Proportional to 338,188 and 506,226

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Solution

The third proportional to 338,188 and 506,226 is: 757,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,188 : 506,226 = 506,226 : x
  2. Step 2: Convert to fraction form
    338,188/506,226 = 506,226/x
  3. Step 3: Cross multiply
    338,188x = 506,226 × 506,226
  4. Step 4: Simplify right side
    338,188x = 256,264,763,076
  5. Step 5: Solve for x
    x = 256,264,763,076/338,188
  6. Step 6: Final answer
    x = 757,758.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.