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Finding the Third Proportional to 350,232.19 and 512,857.83

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Solution

The third proportional to 350,232.19 and 512,857.83 is: 750,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,232.19 : 512,857.83 = 512,857.83 : x
  2. Step 2: Convert to fraction form
    350,232.19/512,857.83 = 512,857.83/x
  3. Step 3: Cross multiply
    350,232.19x = 512,857.83 × 512,857.83
  4. Step 4: Simplify right side
    350,232.19x = 263,023,151,869.09
  5. Step 5: Solve for x
    x = 263,023,151,869.09/350,232.19
  6. Step 6: Final answer
    x = 750,996.51

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.