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Finding the Third Proportional to 190,350 and 450,948

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Solution

The third proportional to 190,350 and 450,948 is: 1,068,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,350 : 450,948 = 450,948 : x
  2. Step 2: Convert to fraction form
    190,350/450,948 = 450,948/x
  3. Step 3: Cross multiply
    190,350x = 450,948 × 450,948
  4. Step 4: Simplify right side
    190,350x = 203,354,098,704
  5. Step 5: Solve for x
    x = 203,354,098,704/190,350
  6. Step 6: Final answer
    x = 1,068,316.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.