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Finding the Third Proportional to 210,716 and 446,212

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Solution

The third proportional to 210,716 and 446,212 is: 944,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716 : 446,212 = 446,212 : x
  2. Step 2: Convert to fraction form
    210,716/446,212 = 446,212/x
  3. Step 3: Cross multiply
    210,716x = 446,212 × 446,212
  4. Step 4: Simplify right side
    210,716x = 199,105,148,944
  5. Step 5: Solve for x
    x = 199,105,148,944/210,716
  6. Step 6: Final answer
    x = 944,898.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.