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Finding the Third Proportional to 364,072 and 754,064

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Solution

The third proportional to 364,072 and 754,064 is: 1,561,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,072 : 754,064 = 754,064 : x
  2. Step 2: Convert to fraction form
    364,072/754,064 = 754,064/x
  3. Step 3: Cross multiply
    364,072x = 754,064 × 754,064
  4. Step 4: Simplify right side
    364,072x = 568,612,516,096
  5. Step 5: Solve for x
    x = 568,612,516,096/364,072
  6. Step 6: Final answer
    x = 1,561,813.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.