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Finding the Third Proportional to 365,385.94 and 797,171.63

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Solution

The third proportional to 365,385.94 and 797,171.63 is: 1,739,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,385.94 : 797,171.63 = 797,171.63 : x
  2. Step 2: Convert to fraction form
    365,385.94/797,171.63 = 797,171.63/x
  3. Step 3: Cross multiply
    365,385.94x = 797,171.63 × 797,171.63
  4. Step 4: Simplify right side
    365,385.94x = 635,482,599,705.14
  5. Step 5: Solve for x
    x = 635,482,599,705.14/365,385.94
  6. Step 6: Final answer
    x = 1,739,209.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.