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Finding the Third Proportional to 284,768.50 and 626,381

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Solution

The third proportional to 284,768.50 and 626,381 is: 1,377,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,768.50 : 626,381 = 626,381 : x
  2. Step 2: Convert to fraction form
    284,768.50/626,381 = 626,381/x
  3. Step 3: Cross multiply
    284,768.50x = 626,381 × 626,381
  4. Step 4: Simplify right side
    284,768.50x = 392,353,157,161
  5. Step 5: Solve for x
    x = 392,353,157,161/284,768.50
  6. Step 6: Final answer
    x = 1,377,796.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.