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Finding the Third Proportional to 315,703.13 and 481,434.19

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Solution

The third proportional to 315,703.13 and 481,434.19 is: 734,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,703.13 : 481,434.19 = 481,434.19 : x
  2. Step 2: Convert to fraction form
    315,703.13/481,434.19 = 481,434.19/x
  3. Step 3: Cross multiply
    315,703.13x = 481,434.19 × 481,434.19
  4. Step 4: Simplify right side
    315,703.13x = 231,778,876,893.79
  5. Step 5: Solve for x
    x = 231,778,876,893.79/315,703.13
  6. Step 6: Final answer
    x = 734,167.19

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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.