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Finding the Third Proportional to 305,436 and 464,634

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Solution

The third proportional to 305,436 and 464,634 is: 706,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,436 : 464,634 = 464,634 : x
  2. Step 2: Convert to fraction form
    305,436/464,634 = 464,634/x
  3. Step 3: Cross multiply
    305,436x = 464,634 × 464,634
  4. Step 4: Simplify right side
    305,436x = 215,884,753,956
  5. Step 5: Solve for x
    x = 215,884,753,956/305,436
  6. Step 6: Final answer
    x = 706,808.48

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Why These Related Problems?

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