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Finding the Third Proportional to 345,389.50 and 743,267

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Solution

The third proportional to 345,389.50 and 743,267 is: 1,599,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,389.50 : 743,267 = 743,267 : x
  2. Step 2: Convert to fraction form
    345,389.50/743,267 = 743,267/x
  3. Step 3: Cross multiply
    345,389.50x = 743,267 × 743,267
  4. Step 4: Simplify right side
    345,389.50x = 552,445,833,289
  5. Step 5: Solve for x
    x = 552,445,833,289/345,389.50
  6. Step 6: Final answer
    x = 1,599,486.47

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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.