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Finding the Third Proportional to 338,026 and 505,986

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Solution

The third proportional to 338,026 and 505,986 is: 757,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,026 : 505,986 = 505,986 : x
  2. Step 2: Convert to fraction form
    338,026/505,986 = 505,986/x
  3. Step 3: Cross multiply
    338,026x = 505,986 × 505,986
  4. Step 4: Simplify right side
    338,026x = 256,021,832,196
  5. Step 5: Solve for x
    x = 256,021,832,196/338,026
  6. Step 6: Final answer
    x = 757,402.78

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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.