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Finding the Third Proportional to 350,244 and 747,144

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Solution

The third proportional to 350,244 and 747,144 is: 1,593,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,244 : 747,144 = 747,144 : x
  2. Step 2: Convert to fraction form
    350,244/747,144 = 747,144/x
  3. Step 3: Cross multiply
    350,244x = 747,144 × 747,144
  4. Step 4: Simplify right side
    350,244x = 558,224,156,736
  5. Step 5: Solve for x
    x = 558,224,156,736/350,244
  6. Step 6: Final answer
    x = 1,593,815.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.