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Finding the Third Proportional to 212,924 and 460,912

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Solution

The third proportional to 212,924 and 460,912 is: 997,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,924 : 460,912 = 460,912 : x
  2. Step 2: Convert to fraction form
    212,924/460,912 = 460,912/x
  3. Step 3: Cross multiply
    212,924x = 460,912 × 460,912
  4. Step 4: Simplify right side
    212,924x = 212,439,871,744
  5. Step 5: Solve for x
    x = 212,439,871,744/212,924
  6. Step 6: Final answer
    x = 997,726.29

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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.