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Finding the Third Proportional to 414,546 and 608,211

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Solution

The third proportional to 414,546 and 608,211 is: 892,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,546 : 608,211 = 608,211 : x
  2. Step 2: Convert to fraction form
    414,546/608,211 = 608,211/x
  3. Step 3: Cross multiply
    414,546x = 608,211 × 608,211
  4. Step 4: Simplify right side
    414,546x = 369,920,620,521
  5. Step 5: Solve for x
    x = 369,920,620,521/414,546
  6. Step 6: Final answer
    x = 892,351.20

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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.