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Finding the Third Proportional to 228,206 and 470,992

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Solution

The third proportional to 228,206 and 470,992 is: 972,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,206 : 470,992 = 470,992 : x
  2. Step 2: Convert to fraction form
    228,206/470,992 = 470,992/x
  3. Step 3: Cross multiply
    228,206x = 470,992 × 470,992
  4. Step 4: Simplify right side
    228,206x = 221,833,464,064
  5. Step 5: Solve for x
    x = 221,833,464,064/228,206
  6. Step 6: Final answer
    x = 972,075.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.