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Finding the Third Proportional to 347,501 and 751,215

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Solution

The third proportional to 347,501 and 751,215 is: 1,623,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,501 : 751,215 = 751,215 : x
  2. Step 2: Convert to fraction form
    347,501/751,215 = 751,215/x
  3. Step 3: Cross multiply
    347,501x = 751,215 × 751,215
  4. Step 4: Simplify right side
    347,501x = 564,323,976,225
  5. Step 5: Solve for x
    x = 564,323,976,225/347,501
  6. Step 6: Final answer
    x = 1,623,949.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.