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Finding the Third Proportional to 466,958 and 713,993

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Solution

The third proportional to 466,958 and 713,993 is: 1,091,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,958 : 713,993 = 713,993 : x
  2. Step 2: Convert to fraction form
    466,958/713,993 = 713,993/x
  3. Step 3: Cross multiply
    466,958x = 713,993 × 713,993
  4. Step 4: Simplify right side
    466,958x = 509,786,004,049
  5. Step 5: Solve for x
    x = 509,786,004,049/466,958
  6. Step 6: Final answer
    x = 1,091,717.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.