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Finding the Third Proportional to 363,821.63 and 765,343.69

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Solution

The third proportional to 363,821.63 and 765,343.69 is: 1,609,994.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,821.63 : 765,343.69 = 765,343.69 : x
  2. Step 2: Convert to fraction form
    363,821.63/765,343.69 = 765,343.69/x
  3. Step 3: Cross multiply
    363,821.63x = 765,343.69 × 765,343.69
  4. Step 4: Simplify right side
    363,821.63x = 585,750,959,996.10
  5. Step 5: Solve for x
    x = 585,750,959,996.10/363,821.63
  6. Step 6: Final answer
    x = 1,609,994.90

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