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Finding the Third Proportional to 259,238 and 402,344

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Solution

The third proportional to 259,238 and 402,344 is: 624,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,238 : 402,344 = 402,344 : x
  2. Step 2: Convert to fraction form
    259,238/402,344 = 402,344/x
  3. Step 3: Cross multiply
    259,238x = 402,344 × 402,344
  4. Step 4: Simplify right side
    259,238x = 161,880,694,336
  5. Step 5: Solve for x
    x = 161,880,694,336/259,238
  6. Step 6: Final answer
    x = 624,448.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.