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Finding the Third Proportional to 451,658 and 675,988

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Solution

The third proportional to 451,658 and 675,988 is: 1,011,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,658 : 675,988 = 675,988 : x
  2. Step 2: Convert to fraction form
    451,658/675,988 = 675,988/x
  3. Step 3: Cross multiply
    451,658x = 675,988 × 675,988
  4. Step 4: Simplify right side
    451,658x = 456,959,776,144
  5. Step 5: Solve for x
    x = 456,959,776,144/451,658
  6. Step 6: Final answer
    x = 1,011,738.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.