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Finding the Third Proportional to 466,928 and 679,980

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Solution

The third proportional to 466,928 and 679,980 is: 990,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,928 : 679,980 = 679,980 : x
  2. Step 2: Convert to fraction form
    466,928/679,980 = 679,980/x
  3. Step 3: Cross multiply
    466,928x = 679,980 × 679,980
  4. Step 4: Simplify right side
    466,928x = 462,372,800,400
  5. Step 5: Solve for x
    x = 462,372,800,400/466,928
  6. Step 6: Final answer
    x = 990,244.32

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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.