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Finding the Third Proportional to 341,705.25 and 543,074.63

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Solution

The third proportional to 341,705.25 and 543,074.63 is: 863,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,705.25 : 543,074.63 = 543,074.63 : x
  2. Step 2: Convert to fraction form
    341,705.25/543,074.63 = 543,074.63/x
  3. Step 3: Cross multiply
    341,705.25x = 543,074.63 × 543,074.63
  4. Step 4: Simplify right side
    341,705.25x = 294,930,048,318.89
  5. Step 5: Solve for x
    x = 294,930,048,318.89/341,705.25
  6. Step 6: Final answer
    x = 863,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.