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Finding the Third Proportional to 337.92 and 504.98

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Solution

The third proportional to 337.92 and 504.98 is: 754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 504.98 = 504.98 : x
  2. Step 2: Convert to fraction form
    337.92/504.98 = 504.98/x
  3. Step 3: Cross multiply
    337.92x = 504.98 × 504.98
  4. Step 4: Simplify right side
    337.92x = 255,009.22
  5. Step 5: Solve for x
    x = 255,009.22/337.92
  6. Step 6: Final answer
    x = 754.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.