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Finding the Third Proportional to 481,536 and 735,129

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Solution

The third proportional to 481,536 and 735,129 is: 1,122,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,536 : 735,129 = 735,129 : x
  2. Step 2: Convert to fraction form
    481,536/735,129 = 735,129/x
  3. Step 3: Cross multiply
    481,536x = 735,129 × 735,129
  4. Step 4: Simplify right side
    481,536x = 540,414,646,641
  5. Step 5: Solve for x
    x = 540,414,646,641/481,536
  6. Step 6: Final answer
    x = 1,122,272.57

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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.