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Finding the Third Proportional to 332,256 and 708,006

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Solution

The third proportional to 332,256 and 708,006 is: 1,508,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,256 : 708,006 = 708,006 : x
  2. Step 2: Convert to fraction form
    332,256/708,006 = 708,006/x
  3. Step 3: Cross multiply
    332,256x = 708,006 × 708,006
  4. Step 4: Simplify right side
    332,256x = 501,272,496,036
  5. Step 5: Solve for x
    x = 501,272,496,036/332,256
  6. Step 6: Final answer
    x = 1,508,693.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.