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Finding the Third Proportional to 295,056 and 443,928

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Solution

The third proportional to 295,056 and 443,928 is: 667,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,056 : 443,928 = 443,928 : x
  2. Step 2: Convert to fraction form
    295,056/443,928 = 443,928/x
  3. Step 3: Cross multiply
    295,056x = 443,928 × 443,928
  4. Step 4: Simplify right side
    295,056x = 197,072,069,184
  5. Step 5: Solve for x
    x = 197,072,069,184/295,056
  6. Step 6: Final answer
    x = 667,914.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.