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Finding the Third Proportional to 345,908.50 and 441,993.50

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Solution

The third proportional to 345,908.50 and 441,993.50 is: 564,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,908.50 : 441,993.50 = 441,993.50 : x
  2. Step 2: Convert to fraction form
    345,908.50/441,993.50 = 441,993.50/x
  3. Step 3: Cross multiply
    345,908.50x = 441,993.50 × 441,993.50
  4. Step 4: Simplify right side
    345,908.50x = 195,358,254,042.25
  5. Step 5: Solve for x
    x = 195,358,254,042.25/345,908.50
  6. Step 6: Final answer
    x = 564,768.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.