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Finding the Third Proportional to 283,594.50 and 439,334.75

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Solution

The third proportional to 283,594.50 and 439,334.75 is: 680,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,594.50 : 439,334.75 = 439,334.75 : x
  2. Step 2: Convert to fraction form
    283,594.50/439,334.75 = 439,334.75/x
  3. Step 3: Cross multiply
    283,594.50x = 439,334.75 × 439,334.75
  4. Step 4: Simplify right side
    283,594.50x = 193,015,022,557.56
  5. Step 5: Solve for x
    x = 193,015,022,557.56/283,594.50
  6. Step 6: Final answer
    x = 680,602.14

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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.