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Finding the Third Proportional to 284,832 and 442,800

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Solution

The third proportional to 284,832 and 442,800 is: 688,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,832 : 442,800 = 442,800 : x
  2. Step 2: Convert to fraction form
    284,832/442,800 = 442,800/x
  3. Step 3: Cross multiply
    284,832x = 442,800 × 442,800
  4. Step 4: Simplify right side
    284,832x = 196,071,840,000
  5. Step 5: Solve for x
    x = 196,071,840,000/284,832
  6. Step 6: Final answer
    x = 688,377.15

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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.