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Finding the Third Proportional to 348,725 and 739,298

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Solution

The third proportional to 348,725 and 739,298 is: 1,567,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,725 : 739,298 = 739,298 : x
  2. Step 2: Convert to fraction form
    348,725/739,298 = 739,298/x
  3. Step 3: Cross multiply
    348,725x = 739,298 × 739,298
  4. Step 4: Simplify right side
    348,725x = 546,561,532,804
  5. Step 5: Solve for x
    x = 546,561,532,804/348,725
  6. Step 6: Final answer
    x = 1,567,313.88

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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.