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Finding the Third Proportional to 363,106.50 and 769,405.50

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Solution

The third proportional to 363,106.50 and 769,405.50 is: 1,630,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,106.50 : 769,405.50 = 769,405.50 : x
  2. Step 2: Convert to fraction form
    363,106.50/769,405.50 = 769,405.50/x
  3. Step 3: Cross multiply
    363,106.50x = 769,405.50 × 769,405.50
  4. Step 4: Simplify right side
    363,106.50x = 591,984,823,430.25
  5. Step 5: Solve for x
    x = 591,984,823,430.25/363,106.50
  6. Step 6: Final answer
    x = 1,630,333.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.