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Finding the Third Proportional to 337,014 and 727,992

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Solution

The third proportional to 337,014 and 727,992 is: 1,572,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,014 : 727,992 = 727,992 : x
  2. Step 2: Convert to fraction form
    337,014/727,992 = 727,992/x
  3. Step 3: Cross multiply
    337,014x = 727,992 × 727,992
  4. Step 4: Simplify right side
    337,014x = 529,972,352,064
  5. Step 5: Solve for x
    x = 529,972,352,064/337,014
  6. Step 6: Final answer
    x = 1,572,552.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.