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Finding the Third Proportional to 332,554.50 and 727,219.50

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Solution

The third proportional to 332,554.50 and 727,219.50 is: 1,590,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,554.50 : 727,219.50 = 727,219.50 : x
  2. Step 2: Convert to fraction form
    332,554.50/727,219.50 = 727,219.50/x
  3. Step 3: Cross multiply
    332,554.50x = 727,219.50 × 727,219.50
  4. Step 4: Simplify right side
    332,554.50x = 528,848,201,180.25
  5. Step 5: Solve for x
    x = 528,848,201,180.25/332,554.50
  6. Step 6: Final answer
    x = 1,590,260.25

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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.