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Finding the Third Proportional to 276,134 and 410,313

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Solution

The third proportional to 276,134 and 410,313 is: 609,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,134 : 410,313 = 410,313 : x
  2. Step 2: Convert to fraction form
    276,134/410,313 = 410,313/x
  3. Step 3: Cross multiply
    276,134x = 410,313 × 410,313
  4. Step 4: Simplify right side
    276,134x = 168,356,757,969
  5. Step 5: Solve for x
    x = 168,356,757,969/276,134
  6. Step 6: Final answer
    x = 609,692.24

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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.