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Finding the Third Proportional to 293,346 and 438,714

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Solution

The third proportional to 293,346 and 438,714 is: 656,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,346 : 438,714 = 438,714 : x
  2. Step 2: Convert to fraction form
    293,346/438,714 = 438,714/x
  3. Step 3: Cross multiply
    293,346x = 438,714 × 438,714
  4. Step 4: Simplify right side
    293,346x = 192,469,973,796
  5. Step 5: Solve for x
    x = 192,469,973,796/293,346
  6. Step 6: Final answer
    x = 656,119.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.