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Finding the Third Proportional to 236,257 and 505,298

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Solution

The third proportional to 236,257 and 505,298 is: 1,080,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,257 : 505,298 = 505,298 : x
  2. Step 2: Convert to fraction form
    236,257/505,298 = 505,298/x
  3. Step 3: Cross multiply
    236,257x = 505,298 × 505,298
  4. Step 4: Simplify right side
    236,257x = 255,326,068,804
  5. Step 5: Solve for x
    x = 255,326,068,804/236,257
  6. Step 6: Final answer
    x = 1,080,713.24

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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.