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Finding the Third Proportional to 365,540 and 846,173

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Solution

The third proportional to 365,540 and 846,173 is: 1,958,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,540 : 846,173 = 846,173 : x
  2. Step 2: Convert to fraction form
    365,540/846,173 = 846,173/x
  3. Step 3: Cross multiply
    365,540x = 846,173 × 846,173
  4. Step 4: Simplify right side
    365,540x = 716,008,745,929
  5. Step 5: Solve for x
    x = 716,008,745,929/365,540
  6. Step 6: Final answer
    x = 1,958,769.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.