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Finding the Third Proportional to 345,401 and 743,289

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Solution

The third proportional to 345,401 and 743,289 is: 1,599,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,401 : 743,289 = 743,289 : x
  2. Step 2: Convert to fraction form
    345,401/743,289 = 743,289/x
  3. Step 3: Cross multiply
    345,401x = 743,289 × 743,289
  4. Step 4: Simplify right side
    345,401x = 552,478,537,521
  5. Step 5: Solve for x
    x = 552,478,537,521/345,401
  6. Step 6: Final answer
    x = 1,599,527.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.