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Finding the Third Proportional to 276,196 and 594,672

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Solution

The third proportional to 276,196 and 594,672 is: 1,280,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,196 : 594,672 = 594,672 : x
  2. Step 2: Convert to fraction form
    276,196/594,672 = 594,672/x
  3. Step 3: Cross multiply
    276,196x = 594,672 × 594,672
  4. Step 4: Simplify right side
    276,196x = 353,634,787,584
  5. Step 5: Solve for x
    x = 353,634,787,584/276,196
  6. Step 6: Final answer
    x = 1,280,376.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.