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Finding the Third Proportional to 337,072 and 720,800

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Solution

The third proportional to 337,072 and 720,800 is: 1,541,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,072 : 720,800 = 720,800 : x
  2. Step 2: Convert to fraction form
    337,072/720,800 = 720,800/x
  3. Step 3: Cross multiply
    337,072x = 720,800 × 720,800
  4. Step 4: Simplify right side
    337,072x = 519,552,640,000
  5. Step 5: Solve for x
    x = 519,552,640,000/337,072
  6. Step 6: Final answer
    x = 1,541,369.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.