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Finding the Third Proportional to 236,409 and 512,196

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Solution

The third proportional to 236,409 and 512,196 is: 1,109,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,409 : 512,196 = 512,196 : x
  2. Step 2: Convert to fraction form
    236,409/512,196 = 512,196/x
  3. Step 3: Cross multiply
    236,409x = 512,196 × 512,196
  4. Step 4: Simplify right side
    236,409x = 262,344,742,416
  5. Step 5: Solve for x
    x = 262,344,742,416/236,409
  6. Step 6: Final answer
    x = 1,109,707.09

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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.