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Finding the Third Proportional to 363,105 and 769,403

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Solution

The third proportional to 363,105 and 769,403 is: 1,630,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,105 : 769,403 = 769,403 : x
  2. Step 2: Convert to fraction form
    363,105/769,403 = 769,403/x
  3. Step 3: Cross multiply
    363,105x = 769,403 × 769,403
  4. Step 4: Simplify right side
    363,105x = 591,980,976,409
  5. Step 5: Solve for x
    x = 591,980,976,409/363,105
  6. Step 6: Final answer
    x = 1,630,330.00

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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.