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Finding the Third Proportional to 284,861 and 451,076

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Solution

The third proportional to 284,861 and 451,076 is: 714,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,861 : 451,076 = 451,076 : x
  2. Step 2: Convert to fraction form
    284,861/451,076 = 451,076/x
  3. Step 3: Cross multiply
    284,861x = 451,076 × 451,076
  4. Step 4: Simplify right side
    284,861x = 203,469,557,776
  5. Step 5: Solve for x
    x = 203,469,557,776/284,861
  6. Step 6: Final answer
    x = 714,276.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.