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Finding the Third Proportional to 234,773 and 489,001

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Solution

The third proportional to 234,773 and 489,001 is: 1,018,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,773 : 489,001 = 489,001 : x
  2. Step 2: Convert to fraction form
    234,773/489,001 = 489,001/x
  3. Step 3: Cross multiply
    234,773x = 489,001 × 489,001
  4. Step 4: Simplify right side
    234,773x = 239,121,978,001
  5. Step 5: Solve for x
    x = 239,121,978,001/234,773
  6. Step 6: Final answer
    x = 1,018,524.18

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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.