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Finding the Third Proportional to 301,658.25 and 624,195.75

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Solution

The third proportional to 301,658.25 and 624,195.75 is: 1,291,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,658.25 : 624,195.75 = 624,195.75 : x
  2. Step 2: Convert to fraction form
    301,658.25/624,195.75 = 624,195.75/x
  3. Step 3: Cross multiply
    301,658.25x = 624,195.75 × 624,195.75
  4. Step 4: Simplify right side
    301,658.25x = 389,620,334,318.06
  5. Step 5: Solve for x
    x = 389,620,334,318.06/301,658.25
  6. Step 6: Final answer
    x = 1,291,595.16

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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.