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Finding the Third Proportional to 367,260 and 778,611

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Solution

The third proportional to 367,260 and 778,611 is: 1,650,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,260 : 778,611 = 778,611 : x
  2. Step 2: Convert to fraction form
    367,260/778,611 = 778,611/x
  3. Step 3: Cross multiply
    367,260x = 778,611 × 778,611
  4. Step 4: Simplify right side
    367,260x = 606,235,089,321
  5. Step 5: Solve for x
    x = 606,235,089,321/367,260
  6. Step 6: Final answer
    x = 1,650,697.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.