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Finding the Third Proportional to 466,844 and 679,852

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Solution

The third proportional to 466,844 and 679,852 is: 990,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,844 : 679,852 = 679,852 : x
  2. Step 2: Convert to fraction form
    466,844/679,852 = 679,852/x
  3. Step 3: Cross multiply
    466,844x = 679,852 × 679,852
  4. Step 4: Simplify right side
    466,844x = 462,198,741,904
  5. Step 5: Solve for x
    x = 462,198,741,904/466,844
  6. Step 6: Final answer
    x = 990,049.66

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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.