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Finding the Third Proportional to 313,846 and 402,969

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Solution

The third proportional to 313,846 and 402,969 is: 517,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,846 : 402,969 = 402,969 : x
  2. Step 2: Convert to fraction form
    313,846/402,969 = 402,969/x
  3. Step 3: Cross multiply
    313,846x = 402,969 × 402,969
  4. Step 4: Simplify right side
    313,846x = 162,384,014,961
  5. Step 5: Solve for x
    x = 162,384,014,961/313,846
  6. Step 6: Final answer
    x = 517,400.30

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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.