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Finding the Third Proportional to 336,834 and 727,092

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Solution

The third proportional to 336,834 and 727,092 is: 1,569,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,834 : 727,092 = 727,092 : x
  2. Step 2: Convert to fraction form
    336,834/727,092 = 727,092/x
  3. Step 3: Cross multiply
    336,834x = 727,092 × 727,092
  4. Step 4: Simplify right side
    336,834x = 528,662,776,464
  5. Step 5: Solve for x
    x = 528,662,776,464/336,834
  6. Step 6: Final answer
    x = 1,569,505.38

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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.