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Finding the Third Proportional to 301,008 and 454,064

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Solution

The third proportional to 301,008 and 454,064 is: 684,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,008 : 454,064 = 454,064 : x
  2. Step 2: Convert to fraction form
    301,008/454,064 = 454,064/x
  3. Step 3: Cross multiply
    301,008x = 454,064 × 454,064
  4. Step 4: Simplify right side
    301,008x = 206,174,116,096
  5. Step 5: Solve for x
    x = 206,174,116,096/301,008
  6. Step 6: Final answer
    x = 684,945.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.