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Finding the Third Proportional to 350,212 and 513,030

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Solution

The third proportional to 350,212 and 513,030 is: 751,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,212 : 513,030 = 513,030 : x
  2. Step 2: Convert to fraction form
    350,212/513,030 = 513,030/x
  3. Step 3: Cross multiply
    350,212x = 513,030 × 513,030
  4. Step 4: Simplify right side
    350,212x = 263,199,780,900
  5. Step 5: Solve for x
    x = 263,199,780,900/350,212
  6. Step 6: Final answer
    x = 751,544.15

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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.