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Finding the Third Proportional to 300,284 and 467,646

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Solution

The third proportional to 300,284 and 467,646 is: 728,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,284 : 467,646 = 467,646 : x
  2. Step 2: Convert to fraction form
    300,284/467,646 = 467,646/x
  3. Step 3: Cross multiply
    300,284x = 467,646 × 467,646
  4. Step 4: Simplify right side
    300,284x = 218,692,781,316
  5. Step 5: Solve for x
    x = 218,692,781,316/300,284
  6. Step 6: Final answer
    x = 728,286.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.