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Finding the Third Proportional to 338,987.44 and 512,854.88

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Solution

The third proportional to 338,987.44 and 512,854.88 is: 775,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,987.44 : 512,854.88 = 512,854.88 : x
  2. Step 2: Convert to fraction form
    338,987.44/512,854.88 = 512,854.88/x
  3. Step 3: Cross multiply
    338,987.44x = 512,854.88 × 512,854.88
  4. Step 4: Simplify right side
    338,987.44x = 263,020,122,811.27
  5. Step 5: Solve for x
    x = 263,020,122,811.27/338,987.44
  6. Step 6: Final answer
    x = 775,899.32

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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.