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Finding the Third Proportional to 283,799.25 and 439,468.88

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Solution

The third proportional to 283,799.25 and 439,468.88 is: 680,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,799.25 : 439,468.88 = 439,468.88 : x
  2. Step 2: Convert to fraction form
    283,799.25/439,468.88 = 439,468.88/x
  3. Step 3: Cross multiply
    283,799.25x = 439,468.88 × 439,468.88
  4. Step 4: Simplify right side
    283,799.25x = 193,132,892,093.77
  5. Step 5: Solve for x
    x = 193,132,892,093.77/283,799.25
  6. Step 6: Final answer
    x = 680,526.44

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Why These Related Problems?

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