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Finding the Third Proportional to 404,158.50 and 657,060.75

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Solution

The third proportional to 404,158.50 and 657,060.75 is: 1,068,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,158.50 : 657,060.75 = 657,060.75 : x
  2. Step 2: Convert to fraction form
    404,158.50/657,060.75 = 657,060.75/x
  3. Step 3: Cross multiply
    404,158.50x = 657,060.75 × 657,060.75
  4. Step 4: Simplify right side
    404,158.50x = 431,728,829,190.56
  5. Step 5: Solve for x
    x = 431,728,829,190.56/404,158.50
  6. Step 6: Final answer
    x = 1,068,216.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.