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Finding the Third Proportional to 284,536 and 611,244

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Solution

The third proportional to 284,536 and 611,244 is: 1,313,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,536 : 611,244 = 611,244 : x
  2. Step 2: Convert to fraction form
    284,536/611,244 = 611,244/x
  3. Step 3: Cross multiply
    284,536x = 611,244 × 611,244
  4. Step 4: Simplify right side
    284,536x = 373,619,227,536
  5. Step 5: Solve for x
    x = 373,619,227,536/284,536
  6. Step 6: Final answer
    x = 1,313,082.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.