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Finding the Third Proportional to 305,898.75 and 620,339.63

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Solution

The third proportional to 305,898.75 and 620,339.63 is: 1,258,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,898.75 : 620,339.63 = 620,339.63 : x
  2. Step 2: Convert to fraction form
    305,898.75/620,339.63 = 620,339.63/x
  3. Step 3: Cross multiply
    305,898.75x = 620,339.63 × 620,339.63
  4. Step 4: Simplify right side
    305,898.75x = 384,821,250,345.14
  5. Step 5: Solve for x
    x = 384,821,250,345.14/305,898.75
  6. Step 6: Final answer
    x = 1,258,002.04

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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.