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Finding the Third Proportional to 325,849 and 697,259

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Solution

The third proportional to 325,849 and 697,259 is: 1,492,010.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,849 : 697,259 = 697,259 : x
  2. Step 2: Convert to fraction form
    325,849/697,259 = 697,259/x
  3. Step 3: Cross multiply
    325,849x = 697,259 × 697,259
  4. Step 4: Simplify right side
    325,849x = 486,170,113,081
  5. Step 5: Solve for x
    x = 486,170,113,081/325,849
  6. Step 6: Final answer
    x = 1,492,010.45

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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.