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Finding the Third Proportional to 247,990 and 371,024

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Solution

The third proportional to 247,990 and 371,024 is: 555,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,990 : 371,024 = 371,024 : x
  2. Step 2: Convert to fraction form
    247,990/371,024 = 371,024/x
  3. Step 3: Cross multiply
    247,990x = 371,024 × 371,024
  4. Step 4: Simplify right side
    247,990x = 137,658,808,576
  5. Step 5: Solve for x
    x = 137,658,808,576/247,990
  6. Step 6: Final answer
    x = 555,098.22

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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.