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Finding the Third Proportional to 301,578 and 649,491

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Solution

The third proportional to 301,578 and 649,491 is: 1,398,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,578 : 649,491 = 649,491 : x
  2. Step 2: Convert to fraction form
    301,578/649,491 = 649,491/x
  3. Step 3: Cross multiply
    301,578x = 649,491 × 649,491
  4. Step 4: Simplify right side
    301,578x = 421,838,559,081
  5. Step 5: Solve for x
    x = 421,838,559,081/301,578
  6. Step 6: Final answer
    x = 1,398,770.99

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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.