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Finding the Third Proportional to 225,463.50 and 524,272.50

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Solution

The third proportional to 225,463.50 and 524,272.50 is: 1,219,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,463.50 : 524,272.50 = 524,272.50 : x
  2. Step 2: Convert to fraction form
    225,463.50/524,272.50 = 524,272.50/x
  3. Step 3: Cross multiply
    225,463.50x = 524,272.50 × 524,272.50
  4. Step 4: Simplify right side
    225,463.50x = 274,861,654,256.25
  5. Step 5: Solve for x
    x = 274,861,654,256.25/225,463.50
  6. Step 6: Final answer
    x = 1,219,096.01

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.