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Finding the Third Proportional to 663,068 and 998,477

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Solution

The third proportional to 663,068 and 998,477 is: 1,503,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,068 : 998,477 = 998,477 : x
  2. Step 2: Convert to fraction form
    663,068/998,477 = 998,477/x
  3. Step 3: Cross multiply
    663,068x = 998,477 × 998,477
  4. Step 4: Simplify right side
    663,068x = 996,956,319,529
  5. Step 5: Solve for x
    x = 996,956,319,529/663,068
  6. Step 6: Final answer
    x = 1,503,550.65

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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.