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Finding the Third Proportional to 283,788 and 424,900

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Solution

The third proportional to 283,788 and 424,900 is: 636,179.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788 : 424,900 = 424,900 : x
  2. Step 2: Convert to fraction form
    283,788/424,900 = 424,900/x
  3. Step 3: Cross multiply
    283,788x = 424,900 × 424,900
  4. Step 4: Simplify right side
    283,788x = 180,540,010,000
  5. Step 5: Solve for x
    x = 180,540,010,000/283,788
  6. Step 6: Final answer
    x = 636,179.15

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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.