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Finding the Third Proportional to 212,614 and 447,260

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Solution

The third proportional to 212,614 and 447,260 is: 940,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,614 : 447,260 = 447,260 : x
  2. Step 2: Convert to fraction form
    212,614/447,260 = 447,260/x
  3. Step 3: Cross multiply
    212,614x = 447,260 × 447,260
  4. Step 4: Simplify right side
    212,614x = 200,041,507,600
  5. Step 5: Solve for x
    x = 200,041,507,600/212,614
  6. Step 6: Final answer
    x = 940,867.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.