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Finding the Third Proportional to 338,262 and 743,484

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Solution

The third proportional to 338,262 and 743,484 is: 1,634,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,262 : 743,484 = 743,484 : x
  2. Step 2: Convert to fraction form
    338,262/743,484 = 743,484/x
  3. Step 3: Cross multiply
    338,262x = 743,484 × 743,484
  4. Step 4: Simplify right side
    338,262x = 552,768,458,256
  5. Step 5: Solve for x
    x = 552,768,458,256/338,262
  6. Step 6: Final answer
    x = 1,634,142.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.