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Finding the Third Proportional to 212,910 and 463,620

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Solution

The third proportional to 212,910 and 463,620 is: 1,009,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,910 : 463,620 = 463,620 : x
  2. Step 2: Convert to fraction form
    212,910/463,620 = 463,620/x
  3. Step 3: Cross multiply
    212,910x = 463,620 × 463,620
  4. Step 4: Simplify right side
    212,910x = 214,943,504,400
  5. Step 5: Solve for x
    x = 214,943,504,400/212,910
  6. Step 6: Final answer
    x = 1,009,551.00

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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.