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Finding the Third Proportional to 367,827.75 and 562,433.25

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Solution

The third proportional to 367,827.75 and 562,433.25 is: 859,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,827.75 : 562,433.25 = 562,433.25 : x
  2. Step 2: Convert to fraction form
    367,827.75/562,433.25 = 562,433.25/x
  3. Step 3: Cross multiply
    367,827.75x = 562,433.25 × 562,433.25
  4. Step 4: Simplify right side
    367,827.75x = 316,331,160,705.56
  5. Step 5: Solve for x
    x = 316,331,160,705.56/367,827.75
  6. Step 6: Final answer
    x = 859,998.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.