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Finding the Third Proportional to 212,926 and 460,916

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Solution

The third proportional to 212,926 and 460,916 is: 997,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,926 : 460,916 = 460,916 : x
  2. Step 2: Convert to fraction form
    212,926/460,916 = 460,916/x
  3. Step 3: Cross multiply
    212,926x = 460,916 × 460,916
  4. Step 4: Simplify right side
    212,926x = 212,443,559,056
  5. Step 5: Solve for x
    x = 212,443,559,056/212,926
  6. Step 6: Final answer
    x = 997,734.23

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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.