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Finding the Third Proportional to 337,972.50 and 685,269

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Solution

The third proportional to 337,972.50 and 685,269 is: 1,389,443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,972.50 : 685,269 = 685,269 : x
  2. Step 2: Convert to fraction form
    337,972.50/685,269 = 685,269/x
  3. Step 3: Cross multiply
    337,972.50x = 685,269 × 685,269
  4. Step 4: Simplify right side
    337,972.50x = 469,593,602,361
  5. Step 5: Solve for x
    x = 469,593,602,361/337,972.50
  6. Step 6: Final answer
    x = 1,389,443.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.