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Finding the Third Proportional to 313,181 and 475,998

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Solution

The third proportional to 313,181 and 475,998 is: 723,460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,181 : 475,998 = 475,998 : x
  2. Step 2: Convert to fraction form
    313,181/475,998 = 475,998/x
  3. Step 3: Cross multiply
    313,181x = 475,998 × 475,998
  4. Step 4: Simplify right side
    313,181x = 226,574,096,004
  5. Step 5: Solve for x
    x = 226,574,096,004/313,181
  6. Step 6: Final answer
    x = 723,460.54

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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.