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Finding the Third Proportional to 212,922 and 460,908

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Solution

The third proportional to 212,922 and 460,908 is: 997,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,922 : 460,908 = 460,908 : x
  2. Step 2: Convert to fraction form
    212,922/460,908 = 460,908/x
  3. Step 3: Cross multiply
    212,922x = 460,908 × 460,908
  4. Step 4: Simplify right side
    212,922x = 212,436,184,464
  5. Step 5: Solve for x
    x = 212,436,184,464/212,922
  6. Step 6: Final answer
    x = 997,718.34

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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.