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Finding the Third Proportional to 284,134.50 and 441,142.50

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Solution

The third proportional to 284,134.50 and 441,142.50 is: 684,910.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,134.50 : 441,142.50 = 441,142.50 : x
  2. Step 2: Convert to fraction form
    284,134.50/441,142.50 = 441,142.50/x
  3. Step 3: Cross multiply
    284,134.50x = 441,142.50 × 441,142.50
  4. Step 4: Simplify right side
    284,134.50x = 194,606,705,306.25
  5. Step 5: Solve for x
    x = 194,606,705,306.25/284,134.50
  6. Step 6: Final answer
    x = 684,910.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.