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Finding the Third Proportional to 331,251 and 714,954

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Solution

The third proportional to 331,251 and 714,954 is: 1,543,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,251 : 714,954 = 714,954 : x
  2. Step 2: Convert to fraction form
    331,251/714,954 = 714,954/x
  3. Step 3: Cross multiply
    331,251x = 714,954 × 714,954
  4. Step 4: Simplify right side
    331,251x = 511,159,222,116
  5. Step 5: Solve for x
    x = 511,159,222,116/331,251
  6. Step 6: Final answer
    x = 1,543,117.52

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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.