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Finding the Third Proportional to 363,824.50 and 765,351

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Solution

The third proportional to 363,824.50 and 765,351 is: 1,610,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,824.50 : 765,351 = 765,351 : x
  2. Step 2: Convert to fraction form
    363,824.50/765,351 = 765,351/x
  3. Step 3: Cross multiply
    363,824.50x = 765,351 × 765,351
  4. Step 4: Simplify right side
    363,824.50x = 585,762,153,201
  5. Step 5: Solve for x
    x = 585,762,153,201/363,824.50
  6. Step 6: Final answer
    x = 1,610,012.94

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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.