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Finding the Third Proportional to 225,654 and 490,210

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Solution

The third proportional to 225,654 and 490,210 is: 1,064,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,654 : 490,210 = 490,210 : x
  2. Step 2: Convert to fraction form
    225,654/490,210 = 490,210/x
  3. Step 3: Cross multiply
    225,654x = 490,210 × 490,210
  4. Step 4: Simplify right side
    225,654x = 240,305,844,100
  5. Step 5: Solve for x
    x = 240,305,844,100/225,654
  6. Step 6: Final answer
    x = 1,064,930.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.