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Finding the Third Proportional to 292,191 and 443,713.50

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Solution

The third proportional to 292,191 and 443,713.50 is: 673,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,191 : 443,713.50 = 443,713.50 : x
  2. Step 2: Convert to fraction form
    292,191/443,713.50 = 443,713.50/x
  3. Step 3: Cross multiply
    292,191x = 443,713.50 × 443,713.50
  4. Step 4: Simplify right side
    292,191x = 196,881,670,082.25
  5. Step 5: Solve for x
    x = 196,881,670,082.25/292,191
  6. Step 6: Final answer
    x = 673,811.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.