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Finding the Third Proportional to 350,964 and 513,334

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Solution

The third proportional to 350,964 and 513,334 is: 750,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,964 : 513,334 = 513,334 : x
  2. Step 2: Convert to fraction form
    350,964/513,334 = 513,334/x
  3. Step 3: Cross multiply
    350,964x = 513,334 × 513,334
  4. Step 4: Simplify right side
    350,964x = 263,511,795,556
  5. Step 5: Solve for x
    x = 263,511,795,556/350,964
  6. Step 6: Final answer
    x = 750,822.86

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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.