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Finding the Third Proportional to 421,068 and 647,219

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Solution

The third proportional to 421,068 and 647,219 is: 994,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,068 : 647,219 = 647,219 : x
  2. Step 2: Convert to fraction form
    421,068/647,219 = 647,219/x
  3. Step 3: Cross multiply
    421,068x = 647,219 × 647,219
  4. Step 4: Simplify right side
    421,068x = 418,892,433,961
  5. Step 5: Solve for x
    x = 418,892,433,961/421,068
  6. Step 6: Final answer
    x = 994,833.22

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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.