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Finding the Third Proportional to 325,166 and 500,431

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Solution

The third proportional to 325,166 and 500,431 is: 770,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,166 : 500,431 = 500,431 : x
  2. Step 2: Convert to fraction form
    325,166/500,431 = 500,431/x
  3. Step 3: Cross multiply
    325,166x = 500,431 × 500,431
  4. Step 4: Simplify right side
    325,166x = 250,431,185,761
  5. Step 5: Solve for x
    x = 250,431,185,761/325,166
  6. Step 6: Final answer
    x = 770,164.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.