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Finding the Third Proportional to 365,105 and 798,925

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Solution

The third proportional to 365,105 and 798,925 is: 1,748,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,105 : 798,925 = 798,925 : x
  2. Step 2: Convert to fraction form
    365,105/798,925 = 798,925/x
  3. Step 3: Cross multiply
    365,105x = 798,925 × 798,925
  4. Step 4: Simplify right side
    365,105x = 638,281,155,625
  5. Step 5: Solve for x
    x = 638,281,155,625/365,105
  6. Step 6: Final answer
    x = 1,748,212.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.