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Finding the Third Proportional to 234,812 and 502,824

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Solution

The third proportional to 234,812 and 502,824 is: 1,076,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,812 : 502,824 = 502,824 : x
  2. Step 2: Convert to fraction form
    234,812/502,824 = 502,824/x
  3. Step 3: Cross multiply
    234,812x = 502,824 × 502,824
  4. Step 4: Simplify right side
    234,812x = 252,831,974,976
  5. Step 5: Solve for x
    x = 252,831,974,976/234,812
  6. Step 6: Final answer
    x = 1,076,742.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.