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Finding the Third Proportional to 364,068.84 and 798,121.69

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Solution

The third proportional to 364,068.84 and 798,121.69 is: 1,749,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,068.84 : 798,121.69 = 798,121.69 : x
  2. Step 2: Convert to fraction form
    364,068.84/798,121.69 = 798,121.69/x
  3. Step 3: Cross multiply
    364,068.84x = 798,121.69 × 798,121.69
  4. Step 4: Simplify right side
    364,068.84x = 636,998,228,057.85
  5. Step 5: Solve for x
    x = 636,998,228,057.85/364,068.84
  6. Step 6: Final answer
    x = 1,749,664.22

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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.