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Finding the Third Proportional to 298,262.25 and 451,737

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Solution

The third proportional to 298,262.25 and 451,737 is: 684,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,262.25 : 451,737 = 451,737 : x
  2. Step 2: Convert to fraction form
    298,262.25/451,737 = 451,737/x
  3. Step 3: Cross multiply
    298,262.25x = 451,737 × 451,737
  4. Step 4: Simplify right side
    298,262.25x = 204,066,317,169
  5. Step 5: Solve for x
    x = 204,066,317,169/298,262.25
  6. Step 6: Final answer
    x = 684,184.19

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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.