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Finding the Third Proportional to 337,880 and 727,762

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Solution

The third proportional to 337,880 and 727,762 is: 1,567,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,880 : 727,762 = 727,762 : x
  2. Step 2: Convert to fraction form
    337,880/727,762 = 727,762/x
  3. Step 3: Cross multiply
    337,880x = 727,762 × 727,762
  4. Step 4: Simplify right side
    337,880x = 529,637,528,644
  5. Step 5: Solve for x
    x = 529,637,528,644/337,880
  6. Step 6: Final answer
    x = 1,567,531.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.