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Finding the Third Proportional to 331,252 and 714,991

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Solution

The third proportional to 331,252 and 714,991 is: 1,543,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,252 : 714,991 = 714,991 : x
  2. Step 2: Convert to fraction form
    331,252/714,991 = 714,991/x
  3. Step 3: Cross multiply
    331,252x = 714,991 × 714,991
  4. Step 4: Simplify right side
    331,252x = 511,212,130,081
  5. Step 5: Solve for x
    x = 511,212,130,081/331,252
  6. Step 6: Final answer
    x = 1,543,272.58

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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.