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Finding the Third Proportional to 301,656.66 and 624,192.75

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Solution

The third proportional to 301,656.66 and 624,192.75 is: 1,291,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,656.66 : 624,192.75 = 624,192.75 : x
  2. Step 2: Convert to fraction form
    301,656.66/624,192.75 = 624,192.75/x
  3. Step 3: Cross multiply
    301,656.66x = 624,192.75 × 624,192.75
  4. Step 4: Simplify right side
    301,656.66x = 389,616,589,152.56
  5. Step 5: Solve for x
    x = 389,616,589,152.56/301,656.66
  6. Step 6: Final answer
    x = 1,291,589.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.