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Finding the Third Proportional to 212,317 and 464,013

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Solution

The third proportional to 212,317 and 464,013 is: 1,014,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,317 : 464,013 = 464,013 : x
  2. Step 2: Convert to fraction form
    212,317/464,013 = 464,013/x
  3. Step 3: Cross multiply
    212,317x = 464,013 × 464,013
  4. Step 4: Simplify right side
    212,317x = 215,308,064,169
  5. Step 5: Solve for x
    x = 215,308,064,169/212,317
  6. Step 6: Final answer
    x = 1,014,087.73

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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.