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Finding the Third Proportional to 300,226 and 463,323

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Solution

The third proportional to 300,226 and 463,323 is: 715,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,226 : 463,323 = 463,323 : x
  2. Step 2: Convert to fraction form
    300,226/463,323 = 463,323/x
  3. Step 3: Cross multiply
    300,226x = 463,323 × 463,323
  4. Step 4: Simplify right side
    300,226x = 214,668,202,329
  5. Step 5: Solve for x
    x = 214,668,202,329/300,226
  6. Step 6: Final answer
    x = 715,022.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.