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Finding the Third Proportional to 370,530 and 754,173

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Solution

The third proportional to 370,530 and 754,173 is: 1,535,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,530 : 754,173 = 754,173 : x
  2. Step 2: Convert to fraction form
    370,530/754,173 = 754,173/x
  3. Step 3: Cross multiply
    370,530x = 754,173 × 754,173
  4. Step 4: Simplify right side
    370,530x = 568,776,913,929
  5. Step 5: Solve for x
    x = 568,776,913,929/370,530
  6. Step 6: Final answer
    x = 1,535,036.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.