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Finding the Third Proportional to 238,576.50 and 520,024.50

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Solution

The third proportional to 238,576.50 and 520,024.50 is: 1,133,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,576.50 : 520,024.50 = 520,024.50 : x
  2. Step 2: Convert to fraction form
    238,576.50/520,024.50 = 520,024.50/x
  3. Step 3: Cross multiply
    238,576.50x = 520,024.50 × 520,024.50
  4. Step 4: Simplify right side
    238,576.50x = 270,425,480,600.25
  5. Step 5: Solve for x
    x = 270,425,480,600.25/238,576.50
  6. Step 6: Final answer
    x = 1,133,495.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.