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Finding the Third Proportional to 301,682 and 595,748

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Solution

The third proportional to 301,682 and 595,748 is: 1,176,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,682 : 595,748 = 595,748 : x
  2. Step 2: Convert to fraction form
    301,682/595,748 = 595,748/x
  3. Step 3: Cross multiply
    301,682x = 595,748 × 595,748
  4. Step 4: Simplify right side
    301,682x = 354,915,679,504
  5. Step 5: Solve for x
    x = 354,915,679,504/301,682
  6. Step 6: Final answer
    x = 1,176,456.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.