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Finding the Third Proportional to 304,580.25 and 446,478.75

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Solution

The third proportional to 304,580.25 and 446,478.75 is: 654,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,580.25 : 446,478.75 = 446,478.75 : x
  2. Step 2: Convert to fraction form
    304,580.25/446,478.75 = 446,478.75/x
  3. Step 3: Cross multiply
    304,580.25x = 446,478.75 × 446,478.75
  4. Step 4: Simplify right side
    304,580.25x = 199,343,274,201.56
  5. Step 5: Solve for x
    x = 199,343,274,201.56/304,580.25
  6. Step 6: Final answer
    x = 654,485.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.