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Finding the Third Proportional to 414,466 and 608,103

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Solution

The third proportional to 414,466 and 608,103 is: 892,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,466 : 608,103 = 608,103 : x
  2. Step 2: Convert to fraction form
    414,466/608,103 = 608,103/x
  3. Step 3: Cross multiply
    414,466x = 608,103 × 608,103
  4. Step 4: Simplify right side
    414,466x = 369,789,258,609
  5. Step 5: Solve for x
    x = 369,789,258,609/414,466
  6. Step 6: Final answer
    x = 892,206.50

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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.