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Finding the Third Proportional to 352,274.06 and 785,229.19

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Solution

The third proportional to 352,274.06 and 785,229.19 is: 1,750,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,274.06 : 785,229.19 = 785,229.19 : x
  2. Step 2: Convert to fraction form
    352,274.06/785,229.19 = 785,229.19/x
  3. Step 3: Cross multiply
    352,274.06x = 785,229.19 × 785,229.19
  4. Step 4: Simplify right side
    352,274.06x = 616,584,876,901.91
  5. Step 5: Solve for x
    x = 616,584,876,901.91/352,274.06
  6. Step 6: Final answer
    x = 1,750,298.82

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.