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Finding the Third Proportional to 283,798.50 and 439,467.75

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Solution

The third proportional to 283,798.50 and 439,467.75 is: 680,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,798.50 : 439,467.75 = 439,467.75 : x
  2. Step 2: Convert to fraction form
    283,798.50/439,467.75 = 439,467.75/x
  3. Step 3: Cross multiply
    283,798.50x = 439,467.75 × 439,467.75
  4. Step 4: Simplify right side
    283,798.50x = 193,131,903,290.06
  5. Step 5: Solve for x
    x = 193,131,903,290.06/283,798.50
  6. Step 6: Final answer
    x = 680,524.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.