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Finding the Third Proportional to 315,703.50 and 481,434.75

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Solution

The third proportional to 315,703.50 and 481,434.75 is: 734,168.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,703.50 : 481,434.75 = 481,434.75 : x
  2. Step 2: Convert to fraction form
    315,703.50/481,434.75 = 481,434.75/x
  3. Step 3: Cross multiply
    315,703.50x = 481,434.75 × 481,434.75
  4. Step 4: Simplify right side
    315,703.50x = 231,779,418,507.56
  5. Step 5: Solve for x
    x = 231,779,418,507.56/315,703.50
  6. Step 6: Final answer
    x = 734,168.04

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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.