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Finding the Third Proportional to 225,654 and 490,152

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Solution

The third proportional to 225,654 and 490,152 is: 1,064,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,654 : 490,152 = 490,152 : x
  2. Step 2: Convert to fraction form
    225,654/490,152 = 490,152/x
  3. Step 3: Cross multiply
    225,654x = 490,152 × 490,152
  4. Step 4: Simplify right side
    225,654x = 240,248,983,104
  5. Step 5: Solve for x
    x = 240,248,983,104/225,654
  6. Step 6: Final answer
    x = 1,064,678.59

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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.