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Finding the Third Proportional to 332,554 and 727,220

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Solution

The third proportional to 332,554 and 727,220 is: 1,590,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,554 : 727,220 = 727,220 : x
  2. Step 2: Convert to fraction form
    332,554/727,220 = 727,220/x
  3. Step 3: Cross multiply
    332,554x = 727,220 × 727,220
  4. Step 4: Simplify right side
    332,554x = 528,848,928,400
  5. Step 5: Solve for x
    x = 528,848,928,400/332,554
  6. Step 6: Final answer
    x = 1,590,264.82

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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.