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Finding the Third Proportional to 338.63 and 507.80

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Solution

The third proportional to 338.63 and 507.80 is: 761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 507.80 = 507.80 : x
  2. Step 2: Convert to fraction form
    338.63/507.80 = 507.80/x
  3. Step 3: Cross multiply
    338.63x = 507.80 × 507.80
  4. Step 4: Simplify right side
    338.63x = 257,857.67
  5. Step 5: Solve for x
    x = 257,857.67/338.63
  6. Step 6: Final answer
    x = 761.48

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