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Finding the Third Proportional to 301,719.94 and 628,241.06

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Solution

The third proportional to 301,719.94 and 628,241.06 is: 1,308,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719.94 : 628,241.06 = 628,241.06 : x
  2. Step 2: Convert to fraction form
    301,719.94/628,241.06 = 628,241.06/x
  3. Step 3: Cross multiply
    301,719.94x = 628,241.06 × 628,241.06
  4. Step 4: Simplify right side
    301,719.94x = 394,686,832,611.13
  5. Step 5: Solve for x
    x = 394,686,832,611.13/301,719.94
  6. Step 6: Final answer
    x = 1,308,123.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.