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Finding the Third Proportional to 276,448 and 605,468

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Solution

The third proportional to 276,448 and 605,468 is: 1,326,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,448 : 605,468 = 605,468 : x
  2. Step 2: Convert to fraction form
    276,448/605,468 = 605,468/x
  3. Step 3: Cross multiply
    276,448x = 605,468 × 605,468
  4. Step 4: Simplify right side
    276,448x = 366,591,499,024
  5. Step 5: Solve for x
    x = 366,591,499,024/276,448
  6. Step 6: Final answer
    x = 1,326,077.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.