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Finding the Third Proportional to 350,433.75 and 532,576.13

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Solution

The third proportional to 350,433.75 and 532,576.13 is: 809,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,433.75 : 532,576.13 = 532,576.13 : x
  2. Step 2: Convert to fraction form
    350,433.75/532,576.13 = 532,576.13/x
  3. Step 3: Cross multiply
    350,433.75x = 532,576.13 × 532,576.13
  4. Step 4: Simplify right side
    350,433.75x = 283,637,328,920.02
  5. Step 5: Solve for x
    x = 283,637,328,920.02/350,433.75
  6. Step 6: Final answer
    x = 809,389.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.