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Finding the Third Proportional to 331,242 and 714,936

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Solution

The third proportional to 331,242 and 714,936 is: 1,543,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,242 : 714,936 = 714,936 : x
  2. Step 2: Convert to fraction form
    331,242/714,936 = 714,936/x
  3. Step 3: Cross multiply
    331,242x = 714,936 × 714,936
  4. Step 4: Simplify right side
    331,242x = 511,133,484,096
  5. Step 5: Solve for x
    x = 511,133,484,096/331,242
  6. Step 6: Final answer
    x = 1,543,081.75

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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.