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Finding the Third Proportional to 239,812 and 525,308

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Solution

The third proportional to 239,812 and 525,308 is: 1,150,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,812 : 525,308 = 525,308 : x
  2. Step 2: Convert to fraction form
    239,812/525,308 = 525,308/x
  3. Step 3: Cross multiply
    239,812x = 525,308 × 525,308
  4. Step 4: Simplify right side
    239,812x = 275,948,494,864
  5. Step 5: Solve for x
    x = 275,948,494,864/239,812
  6. Step 6: Final answer
    x = 1,150,686.77

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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.