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Finding the Third Proportional to 422,774.50 and 986,657.25

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Solution

The third proportional to 422,774.50 and 986,657.25 is: 2,302,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,774.50 : 986,657.25 = 986,657.25 : x
  2. Step 2: Convert to fraction form
    422,774.50/986,657.25 = 986,657.25/x
  3. Step 3: Cross multiply
    422,774.50x = 986,657.25 × 986,657.25
  4. Step 4: Simplify right side
    422,774.50x = 973,492,528,977.56
  5. Step 5: Solve for x
    x = 973,492,528,977.56/422,774.50
  6. Step 6: Final answer
    x = 2,302,628.30

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.