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Finding the Third Proportional to 276,330 and 414,498

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Solution

The third proportional to 276,330 and 414,498 is: 621,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,330 : 414,498 = 414,498 : x
  2. Step 2: Convert to fraction form
    276,330/414,498 = 414,498/x
  3. Step 3: Cross multiply
    276,330x = 414,498 × 414,498
  4. Step 4: Simplify right side
    276,330x = 171,808,592,004
  5. Step 5: Solve for x
    x = 171,808,592,004/276,330
  6. Step 6: Final answer
    x = 621,751.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.