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Finding the Third Proportional to 315,723 and 481,464

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Solution

The third proportional to 315,723 and 481,464 is: 734,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,723 : 481,464 = 481,464 : x
  2. Step 2: Convert to fraction form
    315,723/481,464 = 481,464/x
  3. Step 3: Cross multiply
    315,723x = 481,464 × 481,464
  4. Step 4: Simplify right side
    315,723x = 231,807,583,296
  5. Step 5: Solve for x
    x = 231,807,583,296/315,723
  6. Step 6: Final answer
    x = 734,211.90

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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.