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Finding the Third Proportional to 332,256 and 501,840

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Solution

The third proportional to 332,256 and 501,840 is: 757,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,256 : 501,840 = 501,840 : x
  2. Step 2: Convert to fraction form
    332,256/501,840 = 501,840/x
  3. Step 3: Cross multiply
    332,256x = 501,840 × 501,840
  4. Step 4: Simplify right side
    332,256x = 251,843,385,600
  5. Step 5: Solve for x
    x = 251,843,385,600/332,256
  6. Step 6: Final answer
    x = 757,979.95

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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.