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Finding the Third Proportional to 335,738 and 725,094

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Solution

The third proportional to 335,738 and 725,094 is: 1,565,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,738 : 725,094 = 725,094 : x
  2. Step 2: Convert to fraction form
    335,738/725,094 = 725,094/x
  3. Step 3: Cross multiply
    335,738x = 725,094 × 725,094
  4. Step 4: Simplify right side
    335,738x = 525,761,308,836
  5. Step 5: Solve for x
    x = 525,761,308,836/335,738
  6. Step 6: Final answer
    x = 1,565,986.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.