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Finding the Third Proportional to 323,921.25 and 756,722.25

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Solution

The third proportional to 323,921.25 and 756,722.25 is: 1,767,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,921.25 : 756,722.25 = 756,722.25 : x
  2. Step 2: Convert to fraction form
    323,921.25/756,722.25 = 756,722.25/x
  3. Step 3: Cross multiply
    323,921.25x = 756,722.25 × 756,722.25
  4. Step 4: Simplify right side
    323,921.25x = 572,628,563,645.06
  5. Step 5: Solve for x
    x = 572,628,563,645.06/323,921.25
  6. Step 6: Final answer
    x = 1,767,801.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.