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Finding the Third Proportional to 414,400.50 and 654,918.75

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Solution

The third proportional to 414,400.50 and 654,918.75 is: 1,035,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400.50 : 654,918.75 = 654,918.75 : x
  2. Step 2: Convert to fraction form
    414,400.50/654,918.75 = 654,918.75/x
  3. Step 3: Cross multiply
    414,400.50x = 654,918.75 × 654,918.75
  4. Step 4: Simplify right side
    414,400.50x = 428,918,569,101.56
  5. Step 5: Solve for x
    x = 428,918,569,101.56/414,400.50
  6. Step 6: Final answer
    x = 1,035,033.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.