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Finding the Third Proportional to 494,494.50 and 1,058,973

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Solution

The third proportional to 494,494.50 and 1,058,973 is: 2,267,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,494.50 : 1,058,973 = 1,058,973 : x
  2. Step 2: Convert to fraction form
    494,494.50/1,058,973 = 1,058,973/x
  3. Step 3: Cross multiply
    494,494.50x = 1,058,973 × 1,058,973
  4. Step 4: Simplify right side
    494,494.50x = 1,121,423,814,729
  5. Step 5: Solve for x
    x = 1,121,423,814,729/494,494.50
  6. Step 6: Final answer
    x = 2,267,818.58

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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.