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Finding the Third Proportional to 349,504 and 758,192

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Solution

The third proportional to 349,504 and 758,192 is: 1,644,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,504 : 758,192 = 758,192 : x
  2. Step 2: Convert to fraction form
    349,504/758,192 = 758,192/x
  3. Step 3: Cross multiply
    349,504x = 758,192 × 758,192
  4. Step 4: Simplify right side
    349,504x = 574,855,108,864
  5. Step 5: Solve for x
    x = 574,855,108,864/349,504
  6. Step 6: Final answer
    x = 1,644,774.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.