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Finding the Third Proportional to 337,070 and 720,796

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Solution

The third proportional to 337,070 and 720,796 is: 1,541,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,070 : 720,796 = 720,796 : x
  2. Step 2: Convert to fraction form
    337,070/720,796 = 720,796/x
  3. Step 3: Cross multiply
    337,070x = 720,796 × 720,796
  4. Step 4: Simplify right side
    337,070x = 519,546,873,616
  5. Step 5: Solve for x
    x = 519,546,873,616/337,070
  6. Step 6: Final answer
    x = 1,541,361.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.