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Finding the Third Proportional to 300,541,426.31 and 459,750,066.75

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Solution

The third proportional to 300,541,426.31 and 459,750,066.75 is: 703,297,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,541,426.31 : 459,750,066.75 = 459,750,066.75 : x
  2. Step 2: Convert to fraction form
    300,541,426.31/459,750,066.75 = 459,750,066.75/x
  3. Step 3: Cross multiply
    300,541,426.31x = 459,750,066.75 × 459,750,066.75
  4. Step 4: Simplify right side
    300,541,426.31x = 211,370,123,876,629,440
  5. Step 5: Solve for x
    x = 211,370,123,876,629,440/300,541,426.31
  6. Step 6: Final answer
    x = 703,297,799.81

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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.