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Finding the Third Proportional to 440,933.63 and 644,395.50

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Solution

The third proportional to 440,933.63 and 644,395.50 is: 941,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,933.63 : 644,395.50 = 644,395.50 : x
  2. Step 2: Convert to fraction form
    440,933.63/644,395.50 = 644,395.50/x
  3. Step 3: Cross multiply
    440,933.63x = 644,395.50 × 644,395.50
  4. Step 4: Simplify right side
    440,933.63x = 415,245,560,420.25
  5. Step 5: Solve for x
    x = 415,245,560,420.25/440,933.63
  6. Step 6: Final answer
    x = 941,741.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.