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Finding the Third Proportional to 236,742.75 and 506,791.69

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Solution

The third proportional to 236,742.75 and 506,791.69 is: 1,084,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,742.75 : 506,791.69 = 506,791.69 : x
  2. Step 2: Convert to fraction form
    236,742.75/506,791.69 = 506,791.69/x
  3. Step 3: Cross multiply
    236,742.75x = 506,791.69 × 506,791.69
  4. Step 4: Simplify right side
    236,742.75x = 256,837,814,519.10
  5. Step 5: Solve for x
    x = 256,837,814,519.10/236,742.75
  6. Step 6: Final answer
    x = 1,084,881.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.