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Finding the Third Proportional to 315,590 and 443,900

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Solution

The third proportional to 315,590 and 443,900 is: 624,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,590 : 443,900 = 443,900 : x
  2. Step 2: Convert to fraction form
    315,590/443,900 = 443,900/x
  3. Step 3: Cross multiply
    315,590x = 443,900 × 443,900
  4. Step 4: Simplify right side
    315,590x = 197,047,210,000
  5. Step 5: Solve for x
    x = 197,047,210,000/315,590
  6. Step 6: Final answer
    x = 624,377.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.