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Finding the Third Proportional to 239,012 and 524,680

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Solution

The third proportional to 239,012 and 524,680 is: 1,151,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,012 : 524,680 = 524,680 : x
  2. Step 2: Convert to fraction form
    239,012/524,680 = 524,680/x
  3. Step 3: Cross multiply
    239,012x = 524,680 × 524,680
  4. Step 4: Simplify right side
    239,012x = 275,289,102,400
  5. Step 5: Solve for x
    x = 275,289,102,400/239,012
  6. Step 6: Final answer
    x = 1,151,779.42

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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.