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Finding the Third Proportional to 335,696 and 512,310

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Solution

The third proportional to 335,696 and 512,310 is: 781,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,696 : 512,310 = 512,310 : x
  2. Step 2: Convert to fraction form
    335,696/512,310 = 512,310/x
  3. Step 3: Cross multiply
    335,696x = 512,310 × 512,310
  4. Step 4: Simplify right side
    335,696x = 262,461,536,100
  5. Step 5: Solve for x
    x = 262,461,536,100/335,696
  6. Step 6: Final answer
    x = 781,842.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.