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Finding the Third Proportional to 325,296 and 692,064

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Solution

The third proportional to 325,296 and 692,064 is: 1,472,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,296 : 692,064 = 692,064 : x
  2. Step 2: Convert to fraction form
    325,296/692,064 = 692,064/x
  3. Step 3: Cross multiply
    325,296x = 692,064 × 692,064
  4. Step 4: Simplify right side
    325,296x = 478,952,580,096
  5. Step 5: Solve for x
    x = 478,952,580,096/325,296
  6. Step 6: Final answer
    x = 1,472,359.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.