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Finding the Third Proportional to 303,712 and 607,064

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Solution

The third proportional to 303,712 and 607,064 is: 1,213,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,712 : 607,064 = 607,064 : x
  2. Step 2: Convert to fraction form
    303,712/607,064 = 607,064/x
  3. Step 3: Cross multiply
    303,712x = 607,064 × 607,064
  4. Step 4: Simplify right side
    303,712x = 368,526,700,096
  5. Step 5: Solve for x
    x = 368,526,700,096/303,712
  6. Step 6: Final answer
    x = 1,213,408.43

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.