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Finding the Third Proportional to 466,832 and 679,836

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Solution

The third proportional to 466,832 and 679,836 is: 990,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,832 : 679,836 = 679,836 : x
  2. Step 2: Convert to fraction form
    466,832/679,836 = 679,836/x
  3. Step 3: Cross multiply
    466,832x = 679,836 × 679,836
  4. Step 4: Simplify right side
    466,832x = 462,176,986,896
  5. Step 5: Solve for x
    x = 462,176,986,896/466,832
  6. Step 6: Final answer
    x = 990,028.50

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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.