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Finding the Third Proportional to 295,788 and 443,538

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Solution

The third proportional to 295,788 and 443,538 is: 665,091.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,788 : 443,538 = 443,538 : x
  2. Step 2: Convert to fraction form
    295,788/443,538 = 443,538/x
  3. Step 3: Cross multiply
    295,788x = 443,538 × 443,538
  4. Step 4: Simplify right side
    295,788x = 196,725,957,444
  5. Step 5: Solve for x
    x = 196,725,957,444/295,788
  6. Step 6: Final answer
    x = 665,091.07

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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.