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Finding the Third Proportional to 364,992 and 780,425

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Solution

The third proportional to 364,992 and 780,425 is: 1,668,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,992 : 780,425 = 780,425 : x
  2. Step 2: Convert to fraction form
    364,992/780,425 = 780,425/x
  3. Step 3: Cross multiply
    364,992x = 780,425 × 780,425
  4. Step 4: Simplify right side
    364,992x = 609,063,180,625
  5. Step 5: Solve for x
    x = 609,063,180,625/364,992
  6. Step 6: Final answer
    x = 1,668,702.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.