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Finding the Third Proportional to 427,736 and 662,232

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Solution

The third proportional to 427,736 and 662,232 is: 1,025,284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,736 : 662,232 = 662,232 : x
  2. Step 2: Convert to fraction form
    427,736/662,232 = 662,232/x
  3. Step 3: Cross multiply
    427,736x = 662,232 × 662,232
  4. Step 4: Simplify right side
    427,736x = 438,551,221,824
  5. Step 5: Solve for x
    x = 438,551,221,824/427,736
  6. Step 6: Final answer
    x = 1,025,284.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.