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Finding the Third Proportional to 192,585 and 429,427.50

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Solution

The third proportional to 192,585 and 429,427.50 is: 957,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,585 : 429,427.50 = 429,427.50 : x
  2. Step 2: Convert to fraction form
    192,585/429,427.50 = 429,427.50/x
  3. Step 3: Cross multiply
    192,585x = 429,427.50 × 429,427.50
  4. Step 4: Simplify right side
    192,585x = 184,407,977,756.25
  5. Step 5: Solve for x
    x = 184,407,977,756.25/192,585
  6. Step 6: Final answer
    x = 957,540.71

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.