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Finding the Third Proportional to 350,041 and 748,064

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Solution

The third proportional to 350,041 and 748,064 is: 1,598,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,041 : 748,064 = 748,064 : x
  2. Step 2: Convert to fraction form
    350,041/748,064 = 748,064/x
  3. Step 3: Cross multiply
    350,041x = 748,064 × 748,064
  4. Step 4: Simplify right side
    350,041x = 559,599,748,096
  5. Step 5: Solve for x
    x = 559,599,748,096/350,041
  6. Step 6: Final answer
    x = 1,598,669.15

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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.