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Finding the Third Proportional to 350,922.38 and 524,044.69

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Solution

The third proportional to 350,922.38 and 524,044.69 is: 782,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,922.38 : 524,044.69 = 524,044.69 : x
  2. Step 2: Convert to fraction form
    350,922.38/524,044.69 = 524,044.69/x
  3. Step 3: Cross multiply
    350,922.38x = 524,044.69 × 524,044.69
  4. Step 4: Simplify right side
    350,922.38x = 274,622,834,496.97
  5. Step 5: Solve for x
    x = 274,622,834,496.97/350,922.38
  6. Step 6: Final answer
    x = 782,574.31

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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.