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Finding the Third Proportional to 332,072 and 501,564

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Solution

The third proportional to 332,072 and 501,564 is: 757,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,072 : 501,564 = 501,564 : x
  2. Step 2: Convert to fraction form
    332,072/501,564 = 501,564/x
  3. Step 3: Cross multiply
    332,072x = 501,564 × 501,564
  4. Step 4: Simplify right side
    332,072x = 251,566,446,096
  5. Step 5: Solve for x
    x = 251,566,446,096/332,072
  6. Step 6: Final answer
    x = 757,565.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.