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Finding the Third Proportional to 364,637 and 795,064

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Solution

The third proportional to 364,637 and 795,064 is: 1,733,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,637 : 795,064 = 795,064 : x
  2. Step 2: Convert to fraction form
    364,637/795,064 = 795,064/x
  3. Step 3: Cross multiply
    364,637x = 795,064 × 795,064
  4. Step 4: Simplify right side
    364,637x = 632,126,764,096
  5. Step 5: Solve for x
    x = 632,126,764,096/364,637
  6. Step 6: Final answer
    x = 1,733,578.23

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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.