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Finding the Third Proportional to 220,534.88 and 478,410.75

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Solution

The third proportional to 220,534.88 and 478,410.75 is: 1,037,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,534.88 : 478,410.75 = 478,410.75 : x
  2. Step 2: Convert to fraction form
    220,534.88/478,410.75 = 478,410.75/x
  3. Step 3: Cross multiply
    220,534.88x = 478,410.75 × 478,410.75
  4. Step 4: Simplify right side
    220,534.88x = 228,876,845,715.56
  5. Step 5: Solve for x
    x = 228,876,845,715.56/220,534.88
  6. Step 6: Final answer
    x = 1,037,826.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.