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Finding the Third Proportional to 331,392.75 and 727,302

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Solution

The third proportional to 331,392.75 and 727,302 is: 1,596,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,392.75 : 727,302 = 727,302 : x
  2. Step 2: Convert to fraction form
    331,392.75/727,302 = 727,302/x
  3. Step 3: Cross multiply
    331,392.75x = 727,302 × 727,302
  4. Step 4: Simplify right side
    331,392.75x = 528,968,199,204
  5. Step 5: Solve for x
    x = 528,968,199,204/331,392.75
  6. Step 6: Final answer
    x = 1,596,197.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.