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Finding the Third Proportional to 295,485 and 443,136

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Solution

The third proportional to 295,485 and 443,136 is: 664,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,485 : 443,136 = 443,136 : x
  2. Step 2: Convert to fraction form
    295,485/443,136 = 443,136/x
  3. Step 3: Cross multiply
    295,485x = 443,136 × 443,136
  4. Step 4: Simplify right side
    295,485x = 196,369,514,496
  5. Step 5: Solve for x
    x = 196,369,514,496/295,485
  6. Step 6: Final answer
    x = 664,566.78

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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.