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Finding the Third Proportional to 345,481.14 and 747,550.90

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Solution

The third proportional to 345,481.14 and 747,550.90 is: 1,617,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,481.14 : 747,550.90 = 747,550.90 : x
  2. Step 2: Convert to fraction form
    345,481.14/747,550.90 = 747,550.90/x
  3. Step 3: Cross multiply
    345,481.14x = 747,550.90 × 747,550.90
  4. Step 4: Simplify right side
    345,481.14x = 558,832,345,754.71
  5. Step 5: Solve for x
    x = 558,832,345,754.71/345,481.14
  6. Step 6: Final answer
    x = 1,617,548.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.