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Finding the Third Proportional to 301,132.50 and 412,919.25

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Solution

The third proportional to 301,132.50 and 412,919.25 is: 566,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,132.50 : 412,919.25 = 412,919.25 : x
  2. Step 2: Convert to fraction form
    301,132.50/412,919.25 = 412,919.25/x
  3. Step 3: Cross multiply
    301,132.50x = 412,919.25 × 412,919.25
  4. Step 4: Simplify right side
    301,132.50x = 170,502,307,020.56
  5. Step 5: Solve for x
    x = 170,502,307,020.56/301,132.50
  6. Step 6: Final answer
    x = 566,203.60

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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.