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Finding the Third Proportional to 239,846 and 346,509

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Solution

The third proportional to 239,846 and 346,509 is: 500,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,846 : 346,509 = 346,509 : x
  2. Step 2: Convert to fraction form
    239,846/346,509 = 346,509/x
  3. Step 3: Cross multiply
    239,846x = 346,509 × 346,509
  4. Step 4: Simplify right side
    239,846x = 120,068,487,081
  5. Step 5: Solve for x
    x = 120,068,487,081/239,846
  6. Step 6: Final answer
    x = 500,606.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.