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Finding the Third Proportional to 351,000 and 513,336

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Solution

The third proportional to 351,000 and 513,336 is: 750,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,000 : 513,336 = 513,336 : x
  2. Step 2: Convert to fraction form
    351,000/513,336 = 513,336/x
  3. Step 3: Cross multiply
    351,000x = 513,336 × 513,336
  4. Step 4: Simplify right side
    351,000x = 263,513,848,896
  5. Step 5: Solve for x
    x = 263,513,848,896/351,000
  6. Step 6: Final answer
    x = 750,751.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.