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Finding the Third Proportional to 365,020.50 and 784,029.75

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Solution

The third proportional to 365,020.50 and 784,029.75 is: 1,684,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,020.50 : 784,029.75 = 784,029.75 : x
  2. Step 2: Convert to fraction form
    365,020.50/784,029.75 = 784,029.75/x
  3. Step 3: Cross multiply
    365,020.50x = 784,029.75 × 784,029.75
  4. Step 4: Simplify right side
    365,020.50x = 614,702,648,885.06
  5. Step 5: Solve for x
    x = 614,702,648,885.06/365,020.50
  6. Step 6: Final answer
    x = 1,684,022.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.