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Finding the Third Proportional to 370,534 and 754,162

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Solution

The third proportional to 370,534 and 754,162 is: 1,534,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,534 : 754,162 = 754,162 : x
  2. Step 2: Convert to fraction form
    370,534/754,162 = 754,162/x
  3. Step 3: Cross multiply
    370,534x = 754,162 × 754,162
  4. Step 4: Simplify right side
    370,534x = 568,760,322,244
  5. Step 5: Solve for x
    x = 568,760,322,244/370,534
  6. Step 6: Final answer
    x = 1,534,974.72

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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.