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Finding the Third Proportional to 210,384 and 461,628

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Solution

The third proportional to 210,384 and 461,628 is: 1,012,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,384 : 461,628 = 461,628 : x
  2. Step 2: Convert to fraction form
    210,384/461,628 = 461,628/x
  3. Step 3: Cross multiply
    210,384x = 461,628 × 461,628
  4. Step 4: Simplify right side
    210,384x = 213,100,410,384
  5. Step 5: Solve for x
    x = 213,100,410,384/210,384
  6. Step 6: Final answer
    x = 1,012,911.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.