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Finding the Third Proportional to 296,563.50 and 699,230.25

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Solution

The third proportional to 296,563.50 and 699,230.25 is: 1,648,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,563.50 : 699,230.25 = 699,230.25 : x
  2. Step 2: Convert to fraction form
    296,563.50/699,230.25 = 699,230.25/x
  3. Step 3: Cross multiply
    296,563.50x = 699,230.25 × 699,230.25
  4. Step 4: Simplify right side
    296,563.50x = 488,922,942,515.06
  5. Step 5: Solve for x
    x = 488,922,942,515.06/296,563.50
  6. Step 6: Final answer
    x = 1,648,628.18

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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.