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Finding the Third Proportional to 239,112 and 524,664

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Solution

The third proportional to 239,112 and 524,664 is: 1,151,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,112 : 524,664 = 524,664 : x
  2. Step 2: Convert to fraction form
    239,112/524,664 = 524,664/x
  3. Step 3: Cross multiply
    239,112x = 524,664 × 524,664
  4. Step 4: Simplify right side
    239,112x = 275,272,312,896
  5. Step 5: Solve for x
    x = 275,272,312,896/239,112
  6. Step 6: Final answer
    x = 1,151,227.51

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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.