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Finding the Third Proportional to 350,858 and 513,164

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Solution

The third proportional to 350,858 and 513,164 is: 750,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,858 : 513,164 = 513,164 : x
  2. Step 2: Convert to fraction form
    350,858/513,164 = 513,164/x
  3. Step 3: Cross multiply
    350,858x = 513,164 × 513,164
  4. Step 4: Simplify right side
    350,858x = 263,337,290,896
  5. Step 5: Solve for x
    x = 263,337,290,896/350,858
  6. Step 6: Final answer
    x = 750,552.33

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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.