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Finding the Third Proportional to 210,630 and 463,956

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Solution

The third proportional to 210,630 and 463,956 is: 1,021,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,630 : 463,956 = 463,956 : x
  2. Step 2: Convert to fraction form
    210,630/463,956 = 463,956/x
  3. Step 3: Cross multiply
    210,630x = 463,956 × 463,956
  4. Step 4: Simplify right side
    210,630x = 215,255,169,936
  5. Step 5: Solve for x
    x = 215,255,169,936/210,630
  6. Step 6: Final answer
    x = 1,021,958.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.