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Finding the Third Proportional to 347,732 and 741,393

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Solution

The third proportional to 347,732 and 741,393 is: 1,580,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,732 : 741,393 = 741,393 : x
  2. Step 2: Convert to fraction form
    347,732/741,393 = 741,393/x
  3. Step 3: Cross multiply
    347,732x = 741,393 × 741,393
  4. Step 4: Simplify right side
    347,732x = 549,663,580,449
  5. Step 5: Solve for x
    x = 549,663,580,449/347,732
  6. Step 6: Final answer
    x = 1,580,710.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.