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Finding the Third Proportional to 363,089.25 and 769,365

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Solution

The third proportional to 363,089.25 and 769,365 is: 1,630,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,089.25 : 769,365 = 769,365 : x
  2. Step 2: Convert to fraction form
    363,089.25/769,365 = 769,365/x
  3. Step 3: Cross multiply
    363,089.25x = 769,365 × 769,365
  4. Step 4: Simplify right side
    363,089.25x = 591,922,503,225
  5. Step 5: Solve for x
    x = 591,922,503,225/363,089.25
  6. Step 6: Final answer
    x = 1,630,239.68

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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.