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Finding the Third Proportional to 459,274 and 670,767

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Solution

The third proportional to 459,274 and 670,767 is: 979,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,274 : 670,767 = 670,767 : x
  2. Step 2: Convert to fraction form
    459,274/670,767 = 670,767/x
  3. Step 3: Cross multiply
    459,274x = 670,767 × 670,767
  4. Step 4: Simplify right side
    459,274x = 449,928,368,289
  5. Step 5: Solve for x
    x = 449,928,368,289/459,274
  6. Step 6: Final answer
    x = 979,651.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.