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Finding the Third Proportional to 456,444 and 667,764

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Solution

The third proportional to 456,444 and 667,764 is: 976,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,444 : 667,764 = 667,764 : x
  2. Step 2: Convert to fraction form
    456,444/667,764 = 667,764/x
  3. Step 3: Cross multiply
    456,444x = 667,764 × 667,764
  4. Step 4: Simplify right side
    456,444x = 445,908,759,696
  5. Step 5: Solve for x
    x = 445,908,759,696/456,444
  6. Step 6: Final answer
    x = 976,918.88

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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.