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Finding the Third Proportional to 225,490 and 469,634

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Solution

The third proportional to 225,490 and 469,634 is: 978,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,490 : 469,634 = 469,634 : x
  2. Step 2: Convert to fraction form
    225,490/469,634 = 469,634/x
  3. Step 3: Cross multiply
    225,490x = 469,634 × 469,634
  4. Step 4: Simplify right side
    225,490x = 220,556,093,956
  5. Step 5: Solve for x
    x = 220,556,093,956/225,490
  6. Step 6: Final answer
    x = 978,119.18

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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.