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Finding the Third Proportional to 337,878 and 727,758

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Solution

The third proportional to 337,878 and 727,758 is: 1,567,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,878 : 727,758 = 727,758 : x
  2. Step 2: Convert to fraction form
    337,878/727,758 = 727,758/x
  3. Step 3: Cross multiply
    337,878x = 727,758 × 727,758
  4. Step 4: Simplify right side
    337,878x = 529,631,706,564
  5. Step 5: Solve for x
    x = 529,631,706,564/337,878
  6. Step 6: Final answer
    x = 1,567,523.50

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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.