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Finding the Third Proportional to 284,476.50 and 427,470.75

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Solution

The third proportional to 284,476.50 and 427,470.75 is: 642,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,476.50 : 427,470.75 = 427,470.75 : x
  2. Step 2: Convert to fraction form
    284,476.50/427,470.75 = 427,470.75/x
  3. Step 3: Cross multiply
    284,476.50x = 427,470.75 × 427,470.75
  4. Step 4: Simplify right side
    284,476.50x = 182,731,242,105.56
  5. Step 5: Solve for x
    x = 182,731,242,105.56/284,476.50
  6. Step 6: Final answer
    x = 642,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.