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Finding the Third Proportional to 308,364.19 and 474,585.19

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Solution

The third proportional to 308,364.19 and 474,585.19 is: 730,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,364.19 : 474,585.19 = 474,585.19 : x
  2. Step 2: Convert to fraction form
    308,364.19/474,585.19 = 474,585.19/x
  3. Step 3: Cross multiply
    308,364.19x = 474,585.19 × 474,585.19
  4. Step 4: Simplify right side
    308,364.19x = 225,231,100,194.41
  5. Step 5: Solve for x
    x = 225,231,100,194.41/308,364.19
  6. Step 6: Final answer
    x = 730,406.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.