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Finding the Third Proportional to 348,846 and 750,936

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Solution

The third proportional to 348,846 and 750,936 is: 1,616,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,846 : 750,936 = 750,936 : x
  2. Step 2: Convert to fraction form
    348,846/750,936 = 750,936/x
  3. Step 3: Cross multiply
    348,846x = 750,936 × 750,936
  4. Step 4: Simplify right side
    348,846x = 563,904,876,096
  5. Step 5: Solve for x
    x = 563,904,876,096/348,846
  6. Step 6: Final answer
    x = 1,616,486.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.