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Finding the Third Proportional to 225,488 and 469,630

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Solution

The third proportional to 225,488 and 469,630 is: 978,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,488 : 469,630 = 469,630 : x
  2. Step 2: Convert to fraction form
    225,488/469,630 = 469,630/x
  3. Step 3: Cross multiply
    225,488x = 469,630 × 469,630
  4. Step 4: Simplify right side
    225,488x = 220,552,336,900
  5. Step 5: Solve for x
    x = 220,552,336,900/225,488
  6. Step 6: Final answer
    x = 978,111.19

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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.