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Finding the Third Proportional to 239,057 and 514,998

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Solution

The third proportional to 239,057 and 514,998 is: 1,109,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,057 : 514,998 = 514,998 : x
  2. Step 2: Convert to fraction form
    239,057/514,998 = 514,998/x
  3. Step 3: Cross multiply
    239,057x = 514,998 × 514,998
  4. Step 4: Simplify right side
    239,057x = 265,222,940,004
  5. Step 5: Solve for x
    x = 265,222,940,004/239,057
  6. Step 6: Final answer
    x = 1,109,454.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.