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Finding the Third Proportional to 321,025 and 759,195

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Solution

The third proportional to 321,025 and 759,195 is: 1,795,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,025 : 759,195 = 759,195 : x
  2. Step 2: Convert to fraction form
    321,025/759,195 = 759,195/x
  3. Step 3: Cross multiply
    321,025x = 759,195 × 759,195
  4. Step 4: Simplify right side
    321,025x = 576,377,048,025
  5. Step 5: Solve for x
    x = 576,377,048,025/321,025
  6. Step 6: Final answer
    x = 1,795,427.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.