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Finding the Third Proportional to 348,737 and 739,328

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Solution

The third proportional to 348,737 and 739,328 is: 1,567,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,737 : 739,328 = 739,328 : x
  2. Step 2: Convert to fraction form
    348,737/739,328 = 739,328/x
  3. Step 3: Cross multiply
    348,737x = 739,328 × 739,328
  4. Step 4: Simplify right side
    348,737x = 546,605,891,584
  5. Step 5: Solve for x
    x = 546,605,891,584/348,737
  6. Step 6: Final answer
    x = 1,567,387.15

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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.