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Finding the Third Proportional to 452,138 and 698,993

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Solution

The third proportional to 452,138 and 698,993 is: 1,080,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,138 : 698,993 = 698,993 : x
  2. Step 2: Convert to fraction form
    452,138/698,993 = 698,993/x
  3. Step 3: Cross multiply
    452,138x = 698,993 × 698,993
  4. Step 4: Simplify right side
    452,138x = 488,591,214,049
  5. Step 5: Solve for x
    x = 488,591,214,049/452,138
  6. Step 6: Final answer
    x = 1,080,624.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.