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Finding the Third Proportional to 239,362.50 and 518,617

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Solution

The third proportional to 239,362.50 and 518,617 is: 1,123,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,362.50 : 518,617 = 518,617 : x
  2. Step 2: Convert to fraction form
    239,362.50/518,617 = 518,617/x
  3. Step 3: Cross multiply
    239,362.50x = 518,617 × 518,617
  4. Step 4: Simplify right side
    239,362.50x = 268,963,592,689
  5. Step 5: Solve for x
    x = 268,963,592,689/239,362.50
  6. Step 6: Final answer
    x = 1,123,666.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.