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Finding the Third Proportional to 443,304 and 685,739.25

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Solution

The third proportional to 443,304 and 685,739.25 is: 1,060,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,304 : 685,739.25 = 685,739.25 : x
  2. Step 2: Convert to fraction form
    443,304/685,739.25 = 685,739.25/x
  3. Step 3: Cross multiply
    443,304x = 685,739.25 × 685,739.25
  4. Step 4: Simplify right side
    443,304x = 470,238,318,990.56
  5. Step 5: Solve for x
    x = 470,238,318,990.56/443,304
  6. Step 6: Final answer
    x = 1,060,758.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.