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Finding the Third Proportional to 301,062 and 465,081

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Solution

The third proportional to 301,062 and 465,081 is: 718,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,062 : 465,081 = 465,081 : x
  2. Step 2: Convert to fraction form
    301,062/465,081 = 465,081/x
  3. Step 3: Cross multiply
    301,062x = 465,081 × 465,081
  4. Step 4: Simplify right side
    301,062x = 216,300,336,561
  5. Step 5: Solve for x
    x = 216,300,336,561/301,062
  6. Step 6: Final answer
    x = 718,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.