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Finding the Third Proportional to 423,519 and 636,224

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Solution

The third proportional to 423,519 and 636,224 is: 955,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,519 : 636,224 = 636,224 : x
  2. Step 2: Convert to fraction form
    423,519/636,224 = 636,224/x
  3. Step 3: Cross multiply
    423,519x = 636,224 × 636,224
  4. Step 4: Simplify right side
    423,519x = 404,780,978,176
  5. Step 5: Solve for x
    x = 404,780,978,176/423,519
  6. Step 6: Final answer
    x = 955,756.36

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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.