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Finding the Third Proportional to 234,153 and 552,563

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Solution

The third proportional to 234,153 and 552,563 is: 1,303,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,153 : 552,563 = 552,563 : x
  2. Step 2: Convert to fraction form
    234,153/552,563 = 552,563/x
  3. Step 3: Cross multiply
    234,153x = 552,563 × 552,563
  4. Step 4: Simplify right side
    234,153x = 305,325,868,969
  5. Step 5: Solve for x
    x = 305,325,868,969/234,153
  6. Step 6: Final answer
    x = 1,303,958.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.