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Finding the Third Proportional to 338,986.25 and 512,853.25

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Solution

The third proportional to 338,986.25 and 512,853.25 is: 775,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,986.25 : 512,853.25 = 512,853.25 : x
  2. Step 2: Convert to fraction form
    338,986.25/512,853.25 = 512,853.25/x
  3. Step 3: Cross multiply
    338,986.25x = 512,853.25 × 512,853.25
  4. Step 4: Simplify right side
    338,986.25x = 263,018,456,035.56
  5. Step 5: Solve for x
    x = 263,018,456,035.56/338,986.25
  6. Step 6: Final answer
    x = 775,897.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.