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Finding the Third Proportional to 225,556 and 469,770

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Solution

The third proportional to 225,556 and 469,770 is: 978,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,556 : 469,770 = 469,770 : x
  2. Step 2: Convert to fraction form
    225,556/469,770 = 469,770/x
  3. Step 3: Cross multiply
    225,556x = 469,770 × 469,770
  4. Step 4: Simplify right side
    225,556x = 220,683,852,900
  5. Step 5: Solve for x
    x = 220,683,852,900/225,556
  6. Step 6: Final answer
    x = 978,399.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.