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Finding the Third Proportional to 200,408 and 300,060

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Solution

The third proportional to 200,408 and 300,060 is: 449,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408 : 300,060 = 300,060 : x
  2. Step 2: Convert to fraction form
    200,408/300,060 = 300,060/x
  3. Step 3: Cross multiply
    200,408x = 300,060 × 300,060
  4. Step 4: Simplify right side
    200,408x = 90,036,003,600
  5. Step 5: Solve for x
    x = 90,036,003,600/200,408
  6. Step 6: Final answer
    x = 449,263.52

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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.