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Finding the Third Proportional to 225,053.44 and 531,263.81

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Solution

The third proportional to 225,053.44 and 531,263.81 is: 1,254,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,053.44 : 531,263.81 = 531,263.81 : x
  2. Step 2: Convert to fraction form
    225,053.44/531,263.81 = 531,263.81/x
  3. Step 3: Cross multiply
    225,053.44x = 531,263.81 × 531,263.81
  4. Step 4: Simplify right side
    225,053.44x = 282,241,238,472.04
  5. Step 5: Solve for x
    x = 282,241,238,472.04/225,053.44
  6. Step 6: Final answer
    x = 1,254,107.65

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.