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Finding the Third Proportional to 210,220 and 451,544

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Solution

The third proportional to 210,220 and 451,544 is: 969,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,220 : 451,544 = 451,544 : x
  2. Step 2: Convert to fraction form
    210,220/451,544 = 451,544/x
  3. Step 3: Cross multiply
    210,220x = 451,544 × 451,544
  4. Step 4: Simplify right side
    210,220x = 203,891,983,936
  5. Step 5: Solve for x
    x = 203,891,983,936/210,220
  6. Step 6: Final answer
    x = 969,898.13

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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.