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Finding the Third Proportional to 384,426 and 612,171

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Solution

The third proportional to 384,426 and 612,171 is: 974,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,426 : 612,171 = 612,171 : x
  2. Step 2: Convert to fraction form
    384,426/612,171 = 612,171/x
  3. Step 3: Cross multiply
    384,426x = 612,171 × 612,171
  4. Step 4: Simplify right side
    384,426x = 374,753,333,241
  5. Step 5: Solve for x
    x = 374,753,333,241/384,426
  6. Step 6: Final answer
    x = 974,838.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.