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Finding the Third Proportional to 248,429 and 536,197

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Solution

The third proportional to 248,429 and 536,197 is: 1,157,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,429 : 536,197 = 536,197 : x
  2. Step 2: Convert to fraction form
    248,429/536,197 = 536,197/x
  3. Step 3: Cross multiply
    248,429x = 536,197 × 536,197
  4. Step 4: Simplify right side
    248,429x = 287,507,222,809
  5. Step 5: Solve for x
    x = 287,507,222,809/248,429
  6. Step 6: Final answer
    x = 1,157,301.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.