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Finding the Third Proportional to 238,554 and 524,124

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Solution

The third proportional to 238,554 and 524,124 is: 1,151,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,554 : 524,124 = 524,124 : x
  2. Step 2: Convert to fraction form
    238,554/524,124 = 524,124/x
  3. Step 3: Cross multiply
    238,554x = 524,124 × 524,124
  4. Step 4: Simplify right side
    238,554x = 274,705,967,376
  5. Step 5: Solve for x
    x = 274,705,967,376/238,554
  6. Step 6: Final answer
    x = 1,151,546.26

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Why These Related Problems?

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