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Finding the Third Proportional to 276,378 and 414,486

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Solution

The third proportional to 276,378 and 414,486 is: 621,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,378 : 414,486 = 414,486 : x
  2. Step 2: Convert to fraction form
    276,378/414,486 = 414,486/x
  3. Step 3: Cross multiply
    276,378x = 414,486 × 414,486
  4. Step 4: Simplify right side
    276,378x = 171,798,644,196
  5. Step 5: Solve for x
    x = 171,798,644,196/276,378
  6. Step 6: Final answer
    x = 621,607.52

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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.