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Finding the Third Proportional to 393,910 and 590,714

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Solution

The third proportional to 393,910 and 590,714 is: 885,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,910 : 590,714 = 590,714 : x
  2. Step 2: Convert to fraction form
    393,910/590,714 = 590,714/x
  3. Step 3: Cross multiply
    393,910x = 590,714 × 590,714
  4. Step 4: Simplify right side
    393,910x = 348,943,029,796
  5. Step 5: Solve for x
    x = 348,943,029,796/393,910
  6. Step 6: Final answer
    x = 885,844.56

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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.