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Finding the Third Proportional to 341,286.75 and 735,792.19

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Solution

The third proportional to 341,286.75 and 735,792.19 is: 1,586,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,286.75 : 735,792.19 = 735,792.19 : x
  2. Step 2: Convert to fraction form
    341,286.75/735,792.19 = 735,792.19/x
  3. Step 3: Cross multiply
    341,286.75x = 735,792.19 × 735,792.19
  4. Step 4: Simplify right side
    341,286.75x = 541,390,143,186.04
  5. Step 5: Solve for x
    x = 541,390,143,186.04/341,286.75
  6. Step 6: Final answer
    x = 1,586,320.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.