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Finding the Third Proportional to 284,884.88 and 434,562.75

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Solution

The third proportional to 284,884.88 and 434,562.75 is: 662,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884.88 : 434,562.75 = 434,562.75 : x
  2. Step 2: Convert to fraction form
    284,884.88/434,562.75 = 434,562.75/x
  3. Step 3: Cross multiply
    284,884.88x = 434,562.75 × 434,562.75
  4. Step 4: Simplify right side
    284,884.88x = 188,844,783,687.56
  5. Step 5: Solve for x
    x = 188,844,783,687.56/284,884.88
  6. Step 6: Final answer
    x = 662,881.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.