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Finding the Third Proportional to 239,922 and 525,042

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Solution

The third proportional to 239,922 and 525,042 is: 1,148,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,922 : 525,042 = 525,042 : x
  2. Step 2: Convert to fraction form
    239,922/525,042 = 525,042/x
  3. Step 3: Cross multiply
    239,922x = 525,042 × 525,042
  4. Step 4: Simplify right side
    239,922x = 275,669,101,764
  5. Step 5: Solve for x
    x = 275,669,101,764/239,922
  6. Step 6: Final answer
    x = 1,148,994.68

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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.