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Finding the Third Proportional to 224,978 and 489,321

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Solution

The third proportional to 224,978 and 489,321 is: 1,064,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,978 : 489,321 = 489,321 : x
  2. Step 2: Convert to fraction form
    224,978/489,321 = 489,321/x
  3. Step 3: Cross multiply
    224,978x = 489,321 × 489,321
  4. Step 4: Simplify right side
    224,978x = 239,435,041,041
  5. Step 5: Solve for x
    x = 239,435,041,041/224,978
  6. Step 6: Final answer
    x = 1,064,259.80

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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.