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Finding the Third Proportional to 350,932 and 524,059

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Solution

The third proportional to 350,932 and 524,059 is: 782,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,932 : 524,059 = 524,059 : x
  2. Step 2: Convert to fraction form
    350,932/524,059 = 524,059/x
  3. Step 3: Cross multiply
    350,932x = 524,059 × 524,059
  4. Step 4: Simplify right side
    350,932x = 274,637,835,481
  5. Step 5: Solve for x
    x = 274,637,835,481/350,932
  6. Step 6: Final answer
    x = 782,595.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.