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Finding the Third Proportional to 298,257 and 451,730

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Solution

The third proportional to 298,257 and 451,730 is: 684,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,257 : 451,730 = 451,730 : x
  2. Step 2: Convert to fraction form
    298,257/451,730 = 451,730/x
  3. Step 3: Cross multiply
    298,257x = 451,730 × 451,730
  4. Step 4: Simplify right side
    298,257x = 204,059,992,900
  5. Step 5: Solve for x
    x = 204,059,992,900/298,257
  6. Step 6: Final answer
    x = 684,175.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.