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Finding the Third Proportional to 301,360.50 and 660,532.50

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Solution

The third proportional to 301,360.50 and 660,532.50 is: 1,447,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,360.50 : 660,532.50 = 660,532.50 : x
  2. Step 2: Convert to fraction form
    301,360.50/660,532.50 = 660,532.50/x
  3. Step 3: Cross multiply
    301,360.50x = 660,532.50 × 660,532.50
  4. Step 4: Simplify right side
    301,360.50x = 436,303,183,556.25
  5. Step 5: Solve for x
    x = 436,303,183,556.25/301,360.50
  6. Step 6: Final answer
    x = 1,447,778.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.