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Finding the Third Proportional to 431,714 and 670,179

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Solution

The third proportional to 431,714 and 670,179 is: 1,040,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,714 : 670,179 = 670,179 : x
  2. Step 2: Convert to fraction form
    431,714/670,179 = 670,179/x
  3. Step 3: Cross multiply
    431,714x = 670,179 × 670,179
  4. Step 4: Simplify right side
    431,714x = 449,139,892,041
  5. Step 5: Solve for x
    x = 449,139,892,041/431,714
  6. Step 6: Final answer
    x = 1,040,364.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.