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Finding the Third Proportional to 365,103 and 798,921

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Solution

The third proportional to 365,103 and 798,921 is: 1,748,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,103 : 798,921 = 798,921 : x
  2. Step 2: Convert to fraction form
    365,103/798,921 = 798,921/x
  3. Step 3: Cross multiply
    365,103x = 798,921 × 798,921
  4. Step 4: Simplify right side
    365,103x = 638,274,764,241
  5. Step 5: Solve for x
    x = 638,274,764,241/365,103
  6. Step 6: Final answer
    x = 1,748,204.66

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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.