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Finding the Third Proportional to 239,796 and 525,276

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Solution

The third proportional to 239,796 and 525,276 is: 1,150,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,796 : 525,276 = 525,276 : x
  2. Step 2: Convert to fraction form
    239,796/525,276 = 525,276/x
  3. Step 3: Cross multiply
    239,796x = 525,276 × 525,276
  4. Step 4: Simplify right side
    239,796x = 275,914,876,176
  5. Step 5: Solve for x
    x = 275,914,876,176/239,796
  6. Step 6: Final answer
    x = 1,150,623.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.