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Finding the Third Proportional to 259,266 and 423,354

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Solution

The third proportional to 259,266 and 423,354 is: 691,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,266 : 423,354 = 423,354 : x
  2. Step 2: Convert to fraction form
    259,266/423,354 = 423,354/x
  3. Step 3: Cross multiply
    259,266x = 423,354 × 423,354
  4. Step 4: Simplify right side
    259,266x = 179,228,609,316
  5. Step 5: Solve for x
    x = 179,228,609,316/259,266
  6. Step 6: Final answer
    x = 691,292.38

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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.