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Finding the Third Proportional to 227,907 and 470,391

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Solution

The third proportional to 227,907 and 470,391 is: 970,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907 : 470,391 = 470,391 : x
  2. Step 2: Convert to fraction form
    227,907/470,391 = 470,391/x
  3. Step 3: Cross multiply
    227,907x = 470,391 × 470,391
  4. Step 4: Simplify right side
    227,907x = 221,267,692,881
  5. Step 5: Solve for x
    x = 221,267,692,881/227,907
  6. Step 6: Final answer
    x = 970,868.35

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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.