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Finding the Third Proportional to 352,939.13 and 532,699.31

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Solution

The third proportional to 352,939.13 and 532,699.31 is: 804,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,939.13 : 532,699.31 = 532,699.31 : x
  2. Step 2: Convert to fraction form
    352,939.13/532,699.31 = 532,699.31/x
  3. Step 3: Cross multiply
    352,939.13x = 532,699.31 × 532,699.31
  4. Step 4: Simplify right side
    352,939.13x = 283,768,557,537.97
  5. Step 5: Solve for x
    x = 283,768,557,537.97/352,939.13
  6. Step 6: Final answer
    x = 804,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.