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Finding the Third Proportional to 313,842 and 402,963

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Solution

The third proportional to 313,842 and 402,963 is: 517,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842 : 402,963 = 402,963 : x
  2. Step 2: Convert to fraction form
    313,842/402,963 = 402,963/x
  3. Step 3: Cross multiply
    313,842x = 402,963 × 402,963
  4. Step 4: Simplify right side
    313,842x = 162,379,179,369
  5. Step 5: Solve for x
    x = 162,379,179,369/313,842
  6. Step 6: Final answer
    x = 517,391.49

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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.