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Finding the Third Proportional to 332,652 and 712,932

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Solution

The third proportional to 332,652 and 712,932 is: 1,527,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,652 : 712,932 = 712,932 : x
  2. Step 2: Convert to fraction form
    332,652/712,932 = 712,932/x
  3. Step 3: Cross multiply
    332,652x = 712,932 × 712,932
  4. Step 4: Simplify right side
    332,652x = 508,272,036,624
  5. Step 5: Solve for x
    x = 508,272,036,624/332,652
  6. Step 6: Final answer
    x = 1,527,939.22

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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.