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Finding the Third Proportional to 273,060 and 427,425

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Solution

The third proportional to 273,060 and 427,425 is: 669,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,060 : 427,425 = 427,425 : x
  2. Step 2: Convert to fraction form
    273,060/427,425 = 427,425/x
  3. Step 3: Cross multiply
    273,060x = 427,425 × 427,425
  4. Step 4: Simplify right side
    273,060x = 182,692,130,625
  5. Step 5: Solve for x
    x = 182,692,130,625/273,060
  6. Step 6: Final answer
    x = 669,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.