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Finding the Third Proportional to 354,414.66 and 777,714.75

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Solution

The third proportional to 354,414.66 and 777,714.75 is: 1,706,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,414.66 : 777,714.75 = 777,714.75 : x
  2. Step 2: Convert to fraction form
    354,414.66/777,714.75 = 777,714.75/x
  3. Step 3: Cross multiply
    354,414.66x = 777,714.75 × 777,714.75
  4. Step 4: Simplify right side
    354,414.66x = 604,840,232,367.56
  5. Step 5: Solve for x
    x = 604,840,232,367.56/354,414.66
  6. Step 6: Final answer
    x = 1,706,589.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.