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Finding the Third Proportional to 296,548 and 617,671

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Solution

The third proportional to 296,548 and 617,671 is: 1,286,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,548 : 617,671 = 617,671 : x
  2. Step 2: Convert to fraction form
    296,548/617,671 = 617,671/x
  3. Step 3: Cross multiply
    296,548x = 617,671 × 617,671
  4. Step 4: Simplify right side
    296,548x = 381,517,464,241
  5. Step 5: Solve for x
    x = 381,517,464,241/296,548
  6. Step 6: Final answer
    x = 1,286,528.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.