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Finding the Third Proportional to 212,600 and 460,120

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Solution

The third proportional to 212,600 and 460,120 is: 995,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,600 : 460,120 = 460,120 : x
  2. Step 2: Convert to fraction form
    212,600/460,120 = 460,120/x
  3. Step 3: Cross multiply
    212,600x = 460,120 × 460,120
  4. Step 4: Simplify right side
    212,600x = 211,710,414,400
  5. Step 5: Solve for x
    x = 211,710,414,400/212,600
  6. Step 6: Final answer
    x = 995,815.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.