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Finding the Third Proportional to 239,168 and 524,984

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Solution

The third proportional to 239,168 and 524,984 is: 1,152,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,168 : 524,984 = 524,984 : x
  2. Step 2: Convert to fraction form
    239,168/524,984 = 524,984/x
  3. Step 3: Cross multiply
    239,168x = 524,984 × 524,984
  4. Step 4: Simplify right side
    239,168x = 275,608,200,256
  5. Step 5: Solve for x
    x = 275,608,200,256/239,168
  6. Step 6: Final answer
    x = 1,152,362.36

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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.