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Finding the Third Proportional to 303,636.75 and 453,782.25

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Solution

The third proportional to 303,636.75 and 453,782.25 is: 678,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,636.75 : 453,782.25 = 453,782.25 : x
  2. Step 2: Convert to fraction form
    303,636.75/453,782.25 = 453,782.25/x
  3. Step 3: Cross multiply
    303,636.75x = 453,782.25 × 453,782.25
  4. Step 4: Simplify right side
    303,636.75x = 205,918,330,415.06
  5. Step 5: Solve for x
    x = 205,918,330,415.06/303,636.75
  6. Step 6: Final answer
    x = 678,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.