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Finding the Third Proportional to 225,555 and 489,978

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Solution

The third proportional to 225,555 and 489,978 is: 1,064,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,555 : 489,978 = 489,978 : x
  2. Step 2: Convert to fraction form
    225,555/489,978 = 489,978/x
  3. Step 3: Cross multiply
    225,555x = 489,978 × 489,978
  4. Step 4: Simplify right side
    225,555x = 240,078,440,484
  5. Step 5: Solve for x
    x = 240,078,440,484/225,555
  6. Step 6: Final answer
    x = 1,064,389.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.