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Finding the Third Proportional to 483,805.41 and 676,682.86

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Solution

The third proportional to 483,805.41 and 676,682.86 is: 946,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,805.41 : 676,682.86 = 676,682.86 : x
  2. Step 2: Convert to fraction form
    483,805.41/676,682.86 = 676,682.86/x
  3. Step 3: Cross multiply
    483,805.41x = 676,682.86 × 676,682.86
  4. Step 4: Simplify right side
    483,805.41x = 457,899,692,171.93
  5. Step 5: Solve for x
    x = 457,899,692,171.93/483,805.41
  6. Step 6: Final answer
    x = 946,454.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.