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Finding the Third Proportional to 476,219.25 and 729,501.19

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Solution

The third proportional to 476,219.25 and 729,501.19 is: 1,117,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,219.25 : 729,501.19 = 729,501.19 : x
  2. Step 2: Convert to fraction form
    476,219.25/729,501.19 = 729,501.19/x
  3. Step 3: Cross multiply
    476,219.25x = 729,501.19 × 729,501.19
  4. Step 4: Simplify right side
    476,219.25x = 532,171,982,563.91
  5. Step 5: Solve for x
    x = 532,171,982,563.91/476,219.25
  6. Step 6: Final answer
    x = 1,117,493.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.