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Finding the Third Proportional to 337,744 and 527,064

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Solution

The third proportional to 337,744 and 527,064 is: 822,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,744 : 527,064 = 527,064 : x
  2. Step 2: Convert to fraction form
    337,744/527,064 = 527,064/x
  3. Step 3: Cross multiply
    337,744x = 527,064 × 527,064
  4. Step 4: Simplify right side
    337,744x = 277,796,460,096
  5. Step 5: Solve for x
    x = 277,796,460,096/337,744
  6. Step 6: Final answer
    x = 822,505.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.