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Finding the Third Proportional to 301,093.50 and 661,228.50

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Solution

The third proportional to 301,093.50 and 661,228.50 is: 1,452,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,093.50 : 661,228.50 = 661,228.50 : x
  2. Step 2: Convert to fraction form
    301,093.50/661,228.50 = 661,228.50/x
  3. Step 3: Cross multiply
    301,093.50x = 661,228.50 × 661,228.50
  4. Step 4: Simplify right side
    301,093.50x = 437,223,129,212.25
  5. Step 5: Solve for x
    x = 437,223,129,212.25/301,093.50
  6. Step 6: Final answer
    x = 1,452,117.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.