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Finding the Third Proportional to 322,035.75 and 747,042.75

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Solution

The third proportional to 322,035.75 and 747,042.75 is: 1,732,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,035.75 : 747,042.75 = 747,042.75 : x
  2. Step 2: Convert to fraction form
    322,035.75/747,042.75 = 747,042.75/x
  3. Step 3: Cross multiply
    322,035.75x = 747,042.75 × 747,042.75
  4. Step 4: Simplify right side
    322,035.75x = 558,072,870,327.56
  5. Step 5: Solve for x
    x = 558,072,870,327.56/322,035.75
  6. Step 6: Final answer
    x = 1,732,953.16

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.