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Finding the Third Proportional to 338,508 and 735,288

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Solution

The third proportional to 338,508 and 735,288 is: 1,597,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,508 : 735,288 = 735,288 : x
  2. Step 2: Convert to fraction form
    338,508/735,288 = 735,288/x
  3. Step 3: Cross multiply
    338,508x = 735,288 × 735,288
  4. Step 4: Simplify right side
    338,508x = 540,648,442,944
  5. Step 5: Solve for x
    x = 540,648,442,944/338,508
  6. Step 6: Final answer
    x = 1,597,151.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.