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Finding the Third Proportional to 239,950 and 509,414

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Solution

The third proportional to 239,950 and 509,414 is: 1,081,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,950 : 509,414 = 509,414 : x
  2. Step 2: Convert to fraction form
    239,950/509,414 = 509,414/x
  3. Step 3: Cross multiply
    239,950x = 509,414 × 509,414
  4. Step 4: Simplify right side
    239,950x = 259,502,623,396
  5. Step 5: Solve for x
    x = 259,502,623,396/239,950
  6. Step 6: Final answer
    x = 1,081,486.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.