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Finding the Third Proportional to 272,868 and 420,958

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Solution

The third proportional to 272,868 and 420,958 is: 649,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,868 : 420,958 = 420,958 : x
  2. Step 2: Convert to fraction form
    272,868/420,958 = 420,958/x
  3. Step 3: Cross multiply
    272,868x = 420,958 × 420,958
  4. Step 4: Simplify right side
    272,868x = 177,205,637,764
  5. Step 5: Solve for x
    x = 177,205,637,764/272,868
  6. Step 6: Final answer
    x = 649,418.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.