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Finding the Third Proportional to 212,916 and 463,631

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Solution

The third proportional to 212,916 and 463,631 is: 1,009,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,916 : 463,631 = 463,631 : x
  2. Step 2: Convert to fraction form
    212,916/463,631 = 463,631/x
  3. Step 3: Cross multiply
    212,916x = 463,631 × 463,631
  4. Step 4: Simplify right side
    212,916x = 214,953,704,161
  5. Step 5: Solve for x
    x = 214,953,704,161/212,916
  6. Step 6: Final answer
    x = 1,009,570.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.