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Finding the Third Proportional to 414,144.75 and 607,584.75

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Solution

The third proportional to 414,144.75 and 607,584.75 is: 891,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,144.75 : 607,584.75 = 607,584.75 : x
  2. Step 2: Convert to fraction form
    414,144.75/607,584.75 = 607,584.75/x
  3. Step 3: Cross multiply
    414,144.75x = 607,584.75 × 607,584.75
  4. Step 4: Simplify right side
    414,144.75x = 369,159,228,432.56
  5. Step 5: Solve for x
    x = 369,159,228,432.56/414,144.75
  6. Step 6: Final answer
    x = 891,377.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.