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Finding the Third Proportional to 337,599 and 706,383

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Solution

The third proportional to 337,599 and 706,383 is: 1,478,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,599 : 706,383 = 706,383 : x
  2. Step 2: Convert to fraction form
    337,599/706,383 = 706,383/x
  3. Step 3: Cross multiply
    337,599x = 706,383 × 706,383
  4. Step 4: Simplify right side
    337,599x = 498,976,942,689
  5. Step 5: Solve for x
    x = 498,976,942,689/337,599
  6. Step 6: Final answer
    x = 1,478,016.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.