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Finding the Third Proportional to 407,424 and 958,736

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Solution

The third proportional to 407,424 and 958,736 is: 2,256,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,424 : 958,736 = 958,736 : x
  2. Step 2: Convert to fraction form
    407,424/958,736 = 958,736/x
  3. Step 3: Cross multiply
    407,424x = 958,736 × 958,736
  4. Step 4: Simplify right side
    407,424x = 919,174,717,696
  5. Step 5: Solve for x
    x = 919,174,717,696/407,424
  6. Step 6: Final answer
    x = 2,256,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.