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Finding the Third Proportional to 331,236 and 714,960

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Solution

The third proportional to 331,236 and 714,960 is: 1,543,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,236 : 714,960 = 714,960 : x
  2. Step 2: Convert to fraction form
    331,236/714,960 = 714,960/x
  3. Step 3: Cross multiply
    331,236x = 714,960 × 714,960
  4. Step 4: Simplify right side
    331,236x = 511,167,801,600
  5. Step 5: Solve for x
    x = 511,167,801,600/331,236
  6. Step 6: Final answer
    x = 1,543,213.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.