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Finding the Third Proportional to 313,838 and 402,960

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Solution

The third proportional to 313,838 and 402,960 is: 517,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,838 : 402,960 = 402,960 : x
  2. Step 2: Convert to fraction form
    313,838/402,960 = 402,960/x
  3. Step 3: Cross multiply
    313,838x = 402,960 × 402,960
  4. Step 4: Simplify right side
    313,838x = 162,376,761,600
  5. Step 5: Solve for x
    x = 162,376,761,600/313,838
  6. Step 6: Final answer
    x = 517,390.38

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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.