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Finding the Third Proportional to 212,333 and 464,044

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Solution

The third proportional to 212,333 and 464,044 is: 1,014,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,333 : 464,044 = 464,044 : x
  2. Step 2: Convert to fraction form
    212,333/464,044 = 464,044/x
  3. Step 3: Cross multiply
    212,333x = 464,044 × 464,044
  4. Step 4: Simplify right side
    212,333x = 215,336,833,936
  5. Step 5: Solve for x
    x = 215,336,833,936/212,333
  6. Step 6: Final answer
    x = 1,014,146.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.