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Finding the Third Proportional to 328,137.75 and 535,811.63

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Solution

The third proportional to 328,137.75 and 535,811.63 is: 874,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,137.75 : 535,811.63 = 535,811.63 : x
  2. Step 2: Convert to fraction form
    328,137.75/535,811.63 = 535,811.63/x
  3. Step 3: Cross multiply
    328,137.75x = 535,811.63 × 535,811.63
  4. Step 4: Simplify right side
    328,137.75x = 287,094,097,485.14
  5. Step 5: Solve for x
    x = 287,094,097,485.14/328,137.75
  6. Step 6: Final answer
    x = 874,919.44

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