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Finding the Third Proportional to 313,904 and 403,054

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Solution

The third proportional to 313,904 and 403,054 is: 517,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 403,054 = 403,054 : x
  2. Step 2: Convert to fraction form
    313,904/403,054 = 403,054/x
  3. Step 3: Cross multiply
    313,904x = 403,054 × 403,054
  4. Step 4: Simplify right side
    313,904x = 162,452,526,916
  5. Step 5: Solve for x
    x = 162,452,526,916/313,904
  6. Step 6: Final answer
    x = 517,522.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.