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Finding the Third Proportional to 337,208.06 and 491,664.94

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Solution

The third proportional to 337,208.06 and 491,664.94 is: 716,870.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,208.06 : 491,664.94 = 491,664.94 : x
  2. Step 2: Convert to fraction form
    337,208.06/491,664.94 = 491,664.94/x
  3. Step 3: Cross multiply
    337,208.06x = 491,664.94 × 491,664.94
  4. Step 4: Simplify right side
    337,208.06x = 241,734,410,766.88
  5. Step 5: Solve for x
    x = 241,734,410,766.88/337,208.06
  6. Step 6: Final answer
    x = 716,870.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.