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Finding the Third Proportional to 269,678 and 591,196

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Solution

The third proportional to 269,678 and 591,196 is: 1,296,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,678 : 591,196 = 591,196 : x
  2. Step 2: Convert to fraction form
    269,678/591,196 = 591,196/x
  3. Step 3: Cross multiply
    269,678x = 591,196 × 591,196
  4. Step 4: Simplify right side
    269,678x = 349,512,710,416
  5. Step 5: Solve for x
    x = 349,512,710,416/269,678
  6. Step 6: Final answer
    x = 1,296,037.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.