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Finding the Third Proportional to 303,460.50 and 455,968.50

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Solution

The third proportional to 303,460.50 and 455,968.50 is: 685,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,460.50 : 455,968.50 = 455,968.50 : x
  2. Step 2: Convert to fraction form
    303,460.50/455,968.50 = 455,968.50/x
  3. Step 3: Cross multiply
    303,460.50x = 455,968.50 × 455,968.50
  4. Step 4: Simplify right side
    303,460.50x = 207,907,272,992.25
  5. Step 5: Solve for x
    x = 207,907,272,992.25/303,460.50
  6. Step 6: Final answer
    x = 685,121.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.