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Finding the Third Proportional to 338,253 and 520,096

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Solution

The third proportional to 338,253 and 520,096 is: 799,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,253 : 520,096 = 520,096 : x
  2. Step 2: Convert to fraction form
    338,253/520,096 = 520,096/x
  3. Step 3: Cross multiply
    338,253x = 520,096 × 520,096
  4. Step 4: Simplify right side
    338,253x = 270,499,849,216
  5. Step 5: Solve for x
    x = 270,499,849,216/338,253
  6. Step 6: Final answer
    x = 799,696.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.