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Finding the Third Proportional to 366,986 and 562,143

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Solution

The third proportional to 366,986 and 562,143 is: 861,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 562,143 = 562,143 : x
  2. Step 2: Convert to fraction form
    366,986/562,143 = 562,143/x
  3. Step 3: Cross multiply
    366,986x = 562,143 × 562,143
  4. Step 4: Simplify right side
    366,986x = 316,004,752,449
  5. Step 5: Solve for x
    x = 316,004,752,449/366,986
  6. Step 6: Final answer
    x = 861,081.22

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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.