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Finding the Third Proportional to 481,740 and 735,180

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Solution

The third proportional to 481,740 and 735,180 is: 1,121,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,740 : 735,180 = 735,180 : x
  2. Step 2: Convert to fraction form
    481,740/735,180 = 735,180/x
  3. Step 3: Cross multiply
    481,740x = 735,180 × 735,180
  4. Step 4: Simplify right side
    481,740x = 540,489,632,400
  5. Step 5: Solve for x
    x = 540,489,632,400/481,740
  6. Step 6: Final answer
    x = 1,121,952.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.