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Finding the Third Proportional to 350,382 and 725,652

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Solution

The third proportional to 350,382 and 725,652 is: 1,502,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,382 : 725,652 = 725,652 : x
  2. Step 2: Convert to fraction form
    350,382/725,652 = 725,652/x
  3. Step 3: Cross multiply
    350,382x = 725,652 × 725,652
  4. Step 4: Simplify right side
    350,382x = 526,570,825,104
  5. Step 5: Solve for x
    x = 526,570,825,104/350,382
  6. Step 6: Final answer
    x = 1,502,847.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.