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Finding the Third Proportional to 217,458 and 461,052

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Solution

The third proportional to 217,458 and 461,052 is: 977,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,458 : 461,052 = 461,052 : x
  2. Step 2: Convert to fraction form
    217,458/461,052 = 461,052/x
  3. Step 3: Cross multiply
    217,458x = 461,052 × 461,052
  4. Step 4: Simplify right side
    217,458x = 212,568,946,704
  5. Step 5: Solve for x
    x = 212,568,946,704/217,458
  6. Step 6: Final answer
    x = 977,517.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.