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Finding the Third Proportional to 236,556 and 512,904

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Solution

The third proportional to 236,556 and 512,904 is: 1,112,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,556 : 512,904 = 512,904 : x
  2. Step 2: Convert to fraction form
    236,556/512,904 = 512,904/x
  3. Step 3: Cross multiply
    236,556x = 512,904 × 512,904
  4. Step 4: Simplify right side
    236,556x = 263,070,513,216
  5. Step 5: Solve for x
    x = 263,070,513,216/236,556
  6. Step 6: Final answer
    x = 1,112,085.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.