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Finding the Third Proportional to 466,936 and 679,992

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Solution

The third proportional to 466,936 and 679,992 is: 990,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,936 : 679,992 = 679,992 : x
  2. Step 2: Convert to fraction form
    466,936/679,992 = 679,992/x
  3. Step 3: Cross multiply
    466,936x = 679,992 × 679,992
  4. Step 4: Simplify right side
    466,936x = 462,389,120,064
  5. Step 5: Solve for x
    x = 462,389,120,064/466,936
  6. Step 6: Final answer
    x = 990,262.31

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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.