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Finding the Third Proportional to 284,125 and 441,129

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Solution

The third proportional to 284,125 and 441,129 is: 684,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,125 : 441,129 = 441,129 : x
  2. Step 2: Convert to fraction form
    284,125/441,129 = 441,129/x
  3. Step 3: Cross multiply
    284,125x = 441,129 × 441,129
  4. Step 4: Simplify right side
    284,125x = 194,594,794,641
  5. Step 5: Solve for x
    x = 194,594,794,641/284,125
  6. Step 6: Final answer
    x = 684,891.49

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Why These Related Problems?

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