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Finding the Third Proportional to 340,756.50 and 743,397

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Solution

The third proportional to 340,756.50 and 743,397 is: 1,621,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,756.50 : 743,397 = 743,397 : x
  2. Step 2: Convert to fraction form
    340,756.50/743,397 = 743,397/x
  3. Step 3: Cross multiply
    340,756.50x = 743,397 × 743,397
  4. Step 4: Simplify right side
    340,756.50x = 552,639,099,609
  5. Step 5: Solve for x
    x = 552,639,099,609/340,756.50
  6. Step 6: Final answer
    x = 1,621,800.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.