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Finding the Third Proportional to 276,964 and 452,214

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Solution

The third proportional to 276,964 and 452,214 is: 738,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,964 : 452,214 = 452,214 : x
  2. Step 2: Convert to fraction form
    276,964/452,214 = 452,214/x
  3. Step 3: Cross multiply
    276,964x = 452,214 × 452,214
  4. Step 4: Simplify right side
    276,964x = 204,497,501,796
  5. Step 5: Solve for x
    x = 204,497,501,796/276,964
  6. Step 6: Final answer
    x = 738,354.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.