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Finding the Third Proportional to 663,444 and 998,494

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Solution

The third proportional to 663,444 and 998,494 is: 1,502,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,444 : 998,494 = 998,494 : x
  2. Step 2: Convert to fraction form
    663,444/998,494 = 998,494/x
  3. Step 3: Cross multiply
    663,444x = 998,494 × 998,494
  4. Step 4: Simplify right side
    663,444x = 996,990,268,036
  5. Step 5: Solve for x
    x = 996,990,268,036/663,444
  6. Step 6: Final answer
    x = 1,502,749.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.