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Finding the Third Proportional to 239,664 and 510,384

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Solution

The third proportional to 239,664 and 510,384 is: 1,086,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,664 : 510,384 = 510,384 : x
  2. Step 2: Convert to fraction form
    239,664/510,384 = 510,384/x
  3. Step 3: Cross multiply
    239,664x = 510,384 × 510,384
  4. Step 4: Simplify right side
    239,664x = 260,491,827,456
  5. Step 5: Solve for x
    x = 260,491,827,456/239,664
  6. Step 6: Final answer
    x = 1,086,904.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.