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Finding the Third Proportional to 469,211 and 727,144

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Solution

The third proportional to 469,211 and 727,144 is: 1,126,867.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,211 : 727,144 = 727,144 : x
  2. Step 2: Convert to fraction form
    469,211/727,144 = 727,144/x
  3. Step 3: Cross multiply
    469,211x = 727,144 × 727,144
  4. Step 4: Simplify right side
    469,211x = 528,738,396,736
  5. Step 5: Solve for x
    x = 528,738,396,736/469,211
  6. Step 6: Final answer
    x = 1,126,867.01

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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.