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Finding the Third Proportional to 414,456 and 608,085

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Solution

The third proportional to 414,456 and 608,085 is: 892,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,456 : 608,085 = 608,085 : x
  2. Step 2: Convert to fraction form
    414,456/608,085 = 608,085/x
  3. Step 3: Cross multiply
    414,456x = 608,085 × 608,085
  4. Step 4: Simplify right side
    414,456x = 369,767,367,225
  5. Step 5: Solve for x
    x = 369,767,367,225/414,456
  6. Step 6: Final answer
    x = 892,175.21

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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.