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Finding the Third Proportional to 276,825.50 and 433,683

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Solution

The third proportional to 276,825.50 and 433,683 is: 679,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,825.50 : 433,683 = 433,683 : x
  2. Step 2: Convert to fraction form
    276,825.50/433,683 = 433,683/x
  3. Step 3: Cross multiply
    276,825.50x = 433,683 × 433,683
  4. Step 4: Simplify right side
    276,825.50x = 188,080,944,489
  5. Step 5: Solve for x
    x = 188,080,944,489/276,825.50
  6. Step 6: Final answer
    x = 679,420.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.