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Finding the Third Proportional to 283,799 and 439,468.50

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Solution

The third proportional to 283,799 and 439,468.50 is: 680,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,799 : 439,468.50 = 439,468.50 : x
  2. Step 2: Convert to fraction form
    283,799/439,468.50 = 439,468.50/x
  3. Step 3: Cross multiply
    283,799x = 439,468.50 × 439,468.50
  4. Step 4: Simplify right side
    283,799x = 193,132,562,492.25
  5. Step 5: Solve for x
    x = 193,132,562,492.25/283,799
  6. Step 6: Final answer
    x = 680,525.87

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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.