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Finding the Third Proportional to 443,120.63 and 687,441.94

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Solution

The third proportional to 443,120.63 and 687,441.94 is: 1,066,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,120.63 : 687,441.94 = 687,441.94 : x
  2. Step 2: Convert to fraction form
    443,120.63/687,441.94 = 687,441.94/x
  3. Step 3: Cross multiply
    443,120.63x = 687,441.94 × 687,441.94
  4. Step 4: Simplify right side
    443,120.63x = 472,576,417,433.75
  5. Step 5: Solve for x
    x = 472,576,417,433.75/443,120.63
  6. Step 6: Final answer
    x = 1,066,473.53

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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.