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Finding the Third Proportional to 419,457.38 and 656,178.38

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Solution

The third proportional to 419,457.38 and 656,178.38 is: 1,026,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,457.38 : 656,178.38 = 656,178.38 : x
  2. Step 2: Convert to fraction form
    419,457.38/656,178.38 = 656,178.38/x
  3. Step 3: Cross multiply
    419,457.38x = 656,178.38 × 656,178.38
  4. Step 4: Simplify right side
    419,457.38x = 430,570,059,817.64
  5. Step 5: Solve for x
    x = 430,570,059,817.64/419,457.38
  6. Step 6: Final answer
    x = 1,026,493.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.