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Finding the Third Proportional to 629,463 and 998,254.50

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Solution

The third proportional to 629,463 and 998,254.50 is: 1,583,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,463 : 998,254.50 = 998,254.50 : x
  2. Step 2: Convert to fraction form
    629,463/998,254.50 = 998,254.50/x
  3. Step 3: Cross multiply
    629,463x = 998,254.50 × 998,254.50
  4. Step 4: Simplify right side
    629,463x = 996,512,046,770.25
  5. Step 5: Solve for x
    x = 996,512,046,770.25/629,463
  6. Step 6: Final answer
    x = 1,583,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.