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Finding the Third Proportional to 210,634 and 463,964

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Solution

The third proportional to 210,634 and 463,964 is: 1,021,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,634 : 463,964 = 463,964 : x
  2. Step 2: Convert to fraction form
    210,634/463,964 = 463,964/x
  3. Step 3: Cross multiply
    210,634x = 463,964 × 463,964
  4. Step 4: Simplify right side
    210,634x = 215,262,593,296
  5. Step 5: Solve for x
    x = 215,262,593,296/210,634
  6. Step 6: Final answer
    x = 1,021,974.58

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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.