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Finding the Third Proportional to 313,175 and 475,989

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Solution

The third proportional to 313,175 and 475,989 is: 723,447.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,175 : 475,989 = 475,989 : x
  2. Step 2: Convert to fraction form
    313,175/475,989 = 475,989/x
  3. Step 3: Cross multiply
    313,175x = 475,989 × 475,989
  4. Step 4: Simplify right side
    313,175x = 226,565,528,121
  5. Step 5: Solve for x
    x = 226,565,528,121/313,175
  6. Step 6: Final answer
    x = 723,447.04

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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.