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Finding the Third Proportional to 456,465.75 and 667,796.25

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Solution

The third proportional to 456,465.75 and 667,796.25 is: 976,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,465.75 : 667,796.25 = 667,796.25 : x
  2. Step 2: Convert to fraction form
    456,465.75/667,796.25 = 667,796.25/x
  3. Step 3: Cross multiply
    456,465.75x = 667,796.25 × 667,796.25
  4. Step 4: Simplify right side
    456,465.75x = 445,951,831,514.06
  5. Step 5: Solve for x
    x = 445,951,831,514.06/456,465.75
  6. Step 6: Final answer
    x = 976,966.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.