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Finding the Third Proportional to 308,427.75 and 471,389.63

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Solution

The third proportional to 308,427.75 and 471,389.63 is: 720,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,427.75 : 471,389.63 = 471,389.63 : x
  2. Step 2: Convert to fraction form
    308,427.75/471,389.63 = 471,389.63/x
  3. Step 3: Cross multiply
    308,427.75x = 471,389.63 × 471,389.63
  4. Step 4: Simplify right side
    308,427.75x = 222,208,178,557.64
  5. Step 5: Solve for x
    x = 222,208,178,557.64/308,427.75
  6. Step 6: Final answer
    x = 720,454.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.