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Finding the Third Proportional to 254,352.66 and 404,879.77

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Solution

The third proportional to 254,352.66 and 404,879.77 is: 644,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,352.66 : 404,879.77 = 404,879.77 : x
  2. Step 2: Convert to fraction form
    254,352.66/404,879.77 = 404,879.77/x
  3. Step 3: Cross multiply
    254,352.66x = 404,879.77 × 404,879.77
  4. Step 4: Simplify right side
    254,352.66x = 163,927,624,612.56
  5. Step 5: Solve for x
    x = 163,927,624,612.56/254,352.66
  6. Step 6: Final answer
    x = 644,489.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.