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Finding the Third Proportional to 332,551 and 727,310

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Solution

The third proportional to 332,551 and 727,310 is: 1,590,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,551 : 727,310 = 727,310 : x
  2. Step 2: Convert to fraction form
    332,551/727,310 = 727,310/x
  3. Step 3: Cross multiply
    332,551x = 727,310 × 727,310
  4. Step 4: Simplify right side
    332,551x = 528,979,836,100
  5. Step 5: Solve for x
    x = 528,979,836,100/332,551
  6. Step 6: Final answer
    x = 1,590,672.82

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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.