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Finding the Third Proportional to 284,144 and 441,156

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Solution

The third proportional to 284,144 and 441,156 is: 684,929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,144 : 441,156 = 441,156 : x
  2. Step 2: Convert to fraction form
    284,144/441,156 = 441,156/x
  3. Step 3: Cross multiply
    284,144x = 441,156 × 441,156
  4. Step 4: Simplify right side
    284,144x = 194,618,616,336
  5. Step 5: Solve for x
    x = 194,618,616,336/284,144
  6. Step 6: Final answer
    x = 684,929.53

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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.