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Finding the Third Proportional to 494,492.50 and 1,058,969

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Solution

The third proportional to 494,492.50 and 1,058,969 is: 2,267,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,492.50 : 1,058,969 = 1,058,969 : x
  2. Step 2: Convert to fraction form
    494,492.50/1,058,969 = 1,058,969/x
  3. Step 3: Cross multiply
    494,492.50x = 1,058,969 × 1,058,969
  4. Step 4: Simplify right side
    494,492.50x = 1,121,415,342,961
  5. Step 5: Solve for x
    x = 1,121,415,342,961/494,492.50
  6. Step 6: Final answer
    x = 2,267,810.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.