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Finding the Third Proportional to 350,330 and 725,570

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Solution

The third proportional to 350,330 and 725,570 is: 1,502,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,330 : 725,570 = 725,570 : x
  2. Step 2: Convert to fraction form
    350,330/725,570 = 725,570/x
  3. Step 3: Cross multiply
    350,330x = 725,570 × 725,570
  4. Step 4: Simplify right side
    350,330x = 526,451,824,900
  5. Step 5: Solve for x
    x = 526,451,824,900/350,330
  6. Step 6: Final answer
    x = 1,502,731.21

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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.