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Finding the Third Proportional to 301,089 and 412,858.50

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Solution

The third proportional to 301,089 and 412,858.50 is: 566,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,089 : 412,858.50 = 412,858.50 : x
  2. Step 2: Convert to fraction form
    301,089/412,858.50 = 412,858.50/x
  3. Step 3: Cross multiply
    301,089x = 412,858.50 × 412,858.50
  4. Step 4: Simplify right side
    301,089x = 170,452,141,022.25
  5. Step 5: Solve for x
    x = 170,452,141,022.25/301,089
  6. Step 6: Final answer
    x = 566,118.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.