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Finding the Third Proportional to 413,097.50 and 907,493

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Solution

The third proportional to 413,097.50 and 907,493 is: 1,993,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,097.50 : 907,493 = 907,493 : x
  2. Step 2: Convert to fraction form
    413,097.50/907,493 = 907,493/x
  3. Step 3: Cross multiply
    413,097.50x = 907,493 × 907,493
  4. Step 4: Simplify right side
    413,097.50x = 823,543,545,049
  5. Step 5: Solve for x
    x = 823,543,545,049/413,097.50
  6. Step 6: Final answer
    x = 1,993,581.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.