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Finding the Third Proportional to 395,136 and 852,024

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Solution

The third proportional to 395,136 and 852,024 is: 1,837,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,136 : 852,024 = 852,024 : x
  2. Step 2: Convert to fraction form
    395,136/852,024 = 852,024/x
  3. Step 3: Cross multiply
    395,136x = 852,024 × 852,024
  4. Step 4: Simplify right side
    395,136x = 725,944,896,576
  5. Step 5: Solve for x
    x = 725,944,896,576/395,136
  6. Step 6: Final answer
    x = 1,837,202.63

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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.