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Finding the Third Proportional to 466,846 and 679,855

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Solution

The third proportional to 466,846 and 679,855 is: 990,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,846 : 679,855 = 679,855 : x
  2. Step 2: Convert to fraction form
    466,846/679,855 = 679,855/x
  3. Step 3: Cross multiply
    466,846x = 679,855 × 679,855
  4. Step 4: Simplify right side
    466,846x = 462,202,821,025
  5. Step 5: Solve for x
    x = 462,202,821,025/466,846
  6. Step 6: Final answer
    x = 990,054.15

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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.