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Finding the Third Proportional to 315,700 and 481,427

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Solution

The third proportional to 315,700 and 481,427 is: 734,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,700 : 481,427 = 481,427 : x
  2. Step 2: Convert to fraction form
    315,700/481,427 = 481,427/x
  3. Step 3: Cross multiply
    315,700x = 481,427 × 481,427
  4. Step 4: Simplify right side
    315,700x = 231,771,956,329
  5. Step 5: Solve for x
    x = 231,771,956,329/315,700
  6. Step 6: Final answer
    x = 734,152.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.