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Finding the Third Proportional to 305,907.75 and 430,020.56

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Solution

The third proportional to 305,907.75 and 430,020.56 is: 604,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.75 : 430,020.56 = 430,020.56 : x
  2. Step 2: Convert to fraction form
    305,907.75/430,020.56 = 430,020.56/x
  3. Step 3: Cross multiply
    305,907.75x = 430,020.56 × 430,020.56
  4. Step 4: Simplify right side
    305,907.75x = 184,917,684,172.82
  5. Step 5: Solve for x
    x = 184,917,684,172.82/305,907.75
  6. Step 6: Final answer
    x = 604,488.39

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.