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Finding the Third Proportional to 318,052 and 674,024

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Solution

The third proportional to 318,052 and 674,024 is: 1,428,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,052 : 674,024 = 674,024 : x
  2. Step 2: Convert to fraction form
    318,052/674,024 = 674,024/x
  3. Step 3: Cross multiply
    318,052x = 674,024 × 674,024
  4. Step 4: Simplify right side
    318,052x = 454,308,352,576
  5. Step 5: Solve for x
    x = 454,308,352,576/318,052
  6. Step 6: Final answer
    x = 1,428,409.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.