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Finding the Third Proportional to 313,870 and 403,004

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Solution

The third proportional to 313,870 and 403,004 is: 517,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,870 : 403,004 = 403,004 : x
  2. Step 2: Convert to fraction form
    313,870/403,004 = 403,004/x
  3. Step 3: Cross multiply
    313,870x = 403,004 × 403,004
  4. Step 4: Simplify right side
    313,870x = 162,412,224,016
  5. Step 5: Solve for x
    x = 162,412,224,016/313,870
  6. Step 6: Final answer
    x = 517,450.61

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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.