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Finding the Third Proportional to 239,155 and 524,962

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Solution

The third proportional to 239,155 and 524,962 is: 1,152,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,155 : 524,962 = 524,962 : x
  2. Step 2: Convert to fraction form
    239,155/524,962 = 524,962/x
  3. Step 3: Cross multiply
    239,155x = 524,962 × 524,962
  4. Step 4: Simplify right side
    239,155x = 275,585,101,444
  5. Step 5: Solve for x
    x = 275,585,101,444/239,155
  6. Step 6: Final answer
    x = 1,152,328.41

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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.