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Finding the Third Proportional to 305,094 and 635,440

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Solution

The third proportional to 305,094 and 635,440 is: 1,323,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,094 : 635,440 = 635,440 : x
  2. Step 2: Convert to fraction form
    305,094/635,440 = 635,440/x
  3. Step 3: Cross multiply
    305,094x = 635,440 × 635,440
  4. Step 4: Simplify right side
    305,094x = 403,783,993,600
  5. Step 5: Solve for x
    x = 403,783,993,600/305,094
  6. Step 6: Final answer
    x = 1,323,474.06

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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.