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Finding the Third Proportional to 465,477.75 and 624,287.25

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Solution

The third proportional to 465,477.75 and 624,287.25 is: 837,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,477.75 : 624,287.25 = 624,287.25 : x
  2. Step 2: Convert to fraction form
    465,477.75/624,287.25 = 624,287.25/x
  3. Step 3: Cross multiply
    465,477.75x = 624,287.25 × 624,287.25
  4. Step 4: Simplify right side
    465,477.75x = 389,734,570,512.56
  5. Step 5: Solve for x
    x = 389,734,570,512.56/465,477.75
  6. Step 6: Final answer
    x = 837,278.63

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.