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Finding the Third Proportional to 354,448.50 and 538,227

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Solution

The third proportional to 354,448.50 and 538,227 is: 817,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,448.50 : 538,227 = 538,227 : x
  2. Step 2: Convert to fraction form
    354,448.50/538,227 = 538,227/x
  3. Step 3: Cross multiply
    354,448.50x = 538,227 × 538,227
  4. Step 4: Simplify right side
    354,448.50x = 289,688,303,529
  5. Step 5: Solve for x
    x = 289,688,303,529/354,448.50
  6. Step 6: Final answer
    x = 817,293.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.