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Finding the Third Proportional to 479,676 and 692,994

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Solution

The third proportional to 479,676 and 692,994 is: 1,001,177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,676 : 692,994 = 692,994 : x
  2. Step 2: Convert to fraction form
    479,676/692,994 = 692,994/x
  3. Step 3: Cross multiply
    479,676x = 692,994 × 692,994
  4. Step 4: Simplify right side
    479,676x = 480,240,684,036
  5. Step 5: Solve for x
    x = 480,240,684,036/479,676
  6. Step 6: Final answer
    x = 1,001,177.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.