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Finding the Third Proportional to 301,264 and 649,224

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Solution

The third proportional to 301,264 and 649,224 is: 1,399,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264 : 649,224 = 649,224 : x
  2. Step 2: Convert to fraction form
    301,264/649,224 = 649,224/x
  3. Step 3: Cross multiply
    301,264x = 649,224 × 649,224
  4. Step 4: Simplify right side
    301,264x = 421,491,802,176
  5. Step 5: Solve for x
    x = 421,491,802,176/301,264
  6. Step 6: Final answer
    x = 1,399,077.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.