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Finding the Third Proportional to 296,551.13 and 699,202.13

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Solution

The third proportional to 296,551.13 and 699,202.13 is: 1,648,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,551.13 : 699,202.13 = 699,202.13 : x
  2. Step 2: Convert to fraction form
    296,551.13/699,202.13 = 699,202.13/x
  3. Step 3: Cross multiply
    296,551.13x = 699,202.13 × 699,202.13
  4. Step 4: Simplify right side
    296,551.13x = 488,883,611,604.52
  5. Step 5: Solve for x
    x = 488,883,611,604.52/296,551.13
  6. Step 6: Final answer
    x = 1,648,564.35

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