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Finding the Third Proportional to 350,989 and 513,321

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Solution

The third proportional to 350,989 and 513,321 is: 750,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,989 : 513,321 = 513,321 : x
  2. Step 2: Convert to fraction form
    350,989/513,321 = 513,321/x
  3. Step 3: Cross multiply
    350,989x = 513,321 × 513,321
  4. Step 4: Simplify right side
    350,989x = 263,498,449,041
  5. Step 5: Solve for x
    x = 263,498,449,041/350,989
  6. Step 6: Final answer
    x = 750,731.36

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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.