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Finding the Third Proportional to 400,708 and 600,054

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Solution

The third proportional to 400,708 and 600,054 is: 898,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,708 : 600,054 = 600,054 : x
  2. Step 2: Convert to fraction form
    400,708/600,054 = 600,054/x
  3. Step 3: Cross multiply
    400,708x = 600,054 × 600,054
  4. Step 4: Simplify right side
    400,708x = 360,064,802,916
  5. Step 5: Solve for x
    x = 360,064,802,916/400,708
  6. Step 6: Final answer
    x = 898,571.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.