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Finding the Third Proportional to 348,731 and 739,311

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Solution

The third proportional to 348,731 and 739,311 is: 1,567,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,731 : 739,311 = 739,311 : x
  2. Step 2: Convert to fraction form
    348,731/739,311 = 739,311/x
  3. Step 3: Cross multiply
    348,731x = 739,311 × 739,311
  4. Step 4: Simplify right side
    348,731x = 546,580,754,721
  5. Step 5: Solve for x
    x = 546,580,754,721/348,731
  6. Step 6: Final answer
    x = 1,567,342.03

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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.