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Finding the Third Proportional to 422,640 and 618,787

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Solution

The third proportional to 422,640 and 618,787 is: 905,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640 : 618,787 = 618,787 : x
  2. Step 2: Convert to fraction form
    422,640/618,787 = 618,787/x
  3. Step 3: Cross multiply
    422,640x = 618,787 × 618,787
  4. Step 4: Simplify right side
    422,640x = 382,897,351,369
  5. Step 5: Solve for x
    x = 382,897,351,369/422,640
  6. Step 6: Final answer
    x = 905,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.