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Finding the Third Proportional to 354,385.13 and 833,022.56

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Solution

The third proportional to 354,385.13 and 833,022.56 is: 1,958,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,385.13 : 833,022.56 = 833,022.56 : x
  2. Step 2: Convert to fraction form
    354,385.13/833,022.56 = 833,022.56/x
  3. Step 3: Cross multiply
    354,385.13x = 833,022.56 × 833,022.56
  4. Step 4: Simplify right side
    354,385.13x = 693,926,589,634.07
  5. Step 5: Solve for x
    x = 693,926,589,634.07/354,385.13
  6. Step 6: Final answer
    x = 1,958,114.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.