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Finding the Third Proportional to 305,220 and 662,980

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Solution

The third proportional to 305,220 and 662,980 is: 1,440,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220 : 662,980 = 662,980 : x
  2. Step 2: Convert to fraction form
    305,220/662,980 = 662,980/x
  3. Step 3: Cross multiply
    305,220x = 662,980 × 662,980
  4. Step 4: Simplify right side
    305,220x = 439,542,480,400
  5. Step 5: Solve for x
    x = 439,542,480,400/305,220
  6. Step 6: Final answer
    x = 1,440,084.14

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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.