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Finding the Third Proportional to 456,477.75 and 667,814.63

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Solution

The third proportional to 456,477.75 and 667,814.63 is: 976,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,477.75 : 667,814.63 = 667,814.63 : x
  2. Step 2: Convert to fraction form
    456,477.75/667,814.63 = 667,814.63/x
  3. Step 3: Cross multiply
    456,477.75x = 667,814.63 × 667,814.63
  4. Step 4: Simplify right side
    456,477.75x = 445,976,373,363.89
  5. Step 5: Solve for x
    x = 445,976,373,363.89/456,477.75
  6. Step 6: Final answer
    x = 976,994.77

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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.