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Finding the Third Proportional to 348,733 and 739,320

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Solution

The third proportional to 348,733 and 739,320 is: 1,567,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,733 : 739,320 = 739,320 : x
  2. Step 2: Convert to fraction form
    348,733/739,320 = 739,320/x
  3. Step 3: Cross multiply
    348,733x = 739,320 × 739,320
  4. Step 4: Simplify right side
    348,733x = 546,594,062,400
  5. Step 5: Solve for x
    x = 546,594,062,400/348,733
  6. Step 6: Final answer
    x = 1,567,371.20

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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.