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Finding the Third Proportional to 348,728 and 739,305

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Solution

The third proportional to 348,728 and 739,305 is: 1,567,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,728 : 739,305 = 739,305 : x
  2. Step 2: Convert to fraction form
    348,728/739,305 = 739,305/x
  3. Step 3: Cross multiply
    348,728x = 739,305 × 739,305
  4. Step 4: Simplify right side
    348,728x = 546,571,883,025
  5. Step 5: Solve for x
    x = 546,571,883,025/348,728
  6. Step 6: Final answer
    x = 1,567,330.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.