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Finding the Third Proportional to 332,570 and 727,249

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Solution

The third proportional to 332,570 and 727,249 is: 1,590,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,570 : 727,249 = 727,249 : x
  2. Step 2: Convert to fraction form
    332,570/727,249 = 727,249/x
  3. Step 3: Cross multiply
    332,570x = 727,249 × 727,249
  4. Step 4: Simplify right side
    332,570x = 528,891,108,001
  5. Step 5: Solve for x
    x = 528,891,108,001/332,570
  6. Step 6: Final answer
    x = 1,590,315.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.