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Finding the Third Proportional to 276,132 and 410,310

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Solution

The third proportional to 276,132 and 410,310 is: 609,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,132 : 410,310 = 410,310 : x
  2. Step 2: Convert to fraction form
    276,132/410,310 = 410,310/x
  3. Step 3: Cross multiply
    276,132x = 410,310 × 410,310
  4. Step 4: Simplify right side
    276,132x = 168,354,296,100
  5. Step 5: Solve for x
    x = 168,354,296,100/276,132
  6. Step 6: Final answer
    x = 609,687.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.