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Finding the Third Proportional to 328,131 and 701,760

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Solution

The third proportional to 328,131 and 701,760 is: 1,500,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,131 : 701,760 = 701,760 : x
  2. Step 2: Convert to fraction form
    328,131/701,760 = 701,760/x
  3. Step 3: Cross multiply
    328,131x = 701,760 × 701,760
  4. Step 4: Simplify right side
    328,131x = 492,467,097,600
  5. Step 5: Solve for x
    x = 492,467,097,600/328,131
  6. Step 6: Final answer
    x = 1,500,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.