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Finding the Third Proportional to 363,840.75 and 765,384.75

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Solution

The third proportional to 363,840.75 and 765,384.75 is: 1,610,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,840.75 : 765,384.75 = 765,384.75 : x
  2. Step 2: Convert to fraction form
    363,840.75/765,384.75 = 765,384.75/x
  3. Step 3: Cross multiply
    363,840.75x = 765,384.75 × 765,384.75
  4. Step 4: Simplify right side
    363,840.75x = 585,813,815,532.56
  5. Step 5: Solve for x
    x = 585,813,815,532.56/363,840.75
  6. Step 6: Final answer
    x = 1,610,083.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.