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Finding the Third Proportional to 364,635 and 795,060

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Solution

The third proportional to 364,635 and 795,060 is: 1,733,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,635 : 795,060 = 795,060 : x
  2. Step 2: Convert to fraction form
    364,635/795,060 = 795,060/x
  3. Step 3: Cross multiply
    364,635x = 795,060 × 795,060
  4. Step 4: Simplify right side
    364,635x = 632,120,403,600
  5. Step 5: Solve for x
    x = 632,120,403,600/364,635
  6. Step 6: Final answer
    x = 1,733,570.29

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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.