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Finding the Third Proportional to 305,903.25 and 620,349.75

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Solution

The third proportional to 305,903.25 and 620,349.75 is: 1,258,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,903.25 : 620,349.75 = 620,349.75 : x
  2. Step 2: Convert to fraction form
    305,903.25/620,349.75 = 620,349.75/x
  3. Step 3: Cross multiply
    305,903.25x = 620,349.75 × 620,349.75
  4. Step 4: Simplify right side
    305,903.25x = 384,833,812,325.06
  5. Step 5: Solve for x
    x = 384,833,812,325.06/305,903.25
  6. Step 6: Final answer
    x = 1,258,024.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.