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Finding the Third Proportional to 259,212 and 423,270

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Solution

The third proportional to 259,212 and 423,270 is: 691,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,212 : 423,270 = 423,270 : x
  2. Step 2: Convert to fraction form
    259,212/423,270 = 423,270/x
  3. Step 3: Cross multiply
    259,212x = 423,270 × 423,270
  4. Step 4: Simplify right side
    259,212x = 179,157,492,900
  5. Step 5: Solve for x
    x = 179,157,492,900/259,212
  6. Step 6: Final answer
    x = 691,162.03

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.