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Finding the Third Proportional to 350,936 and 524,064

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Solution

The third proportional to 350,936 and 524,064 is: 782,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,936 : 524,064 = 524,064 : x
  2. Step 2: Convert to fraction form
    350,936/524,064 = 524,064/x
  3. Step 3: Cross multiply
    350,936x = 524,064 × 524,064
  4. Step 4: Simplify right side
    350,936x = 274,643,076,096
  5. Step 5: Solve for x
    x = 274,643,076,096/350,936
  6. Step 6: Final answer
    x = 782,601.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.