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Finding the Third Proportional to 254,034 and 543,060

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Solution

The third proportional to 254,034 and 543,060 is: 1,160,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,034 : 543,060 = 543,060 : x
  2. Step 2: Convert to fraction form
    254,034/543,060 = 543,060/x
  3. Step 3: Cross multiply
    254,034x = 543,060 × 543,060
  4. Step 4: Simplify right side
    254,034x = 294,914,163,600
  5. Step 5: Solve for x
    x = 294,914,163,600/254,034
  6. Step 6: Final answer
    x = 1,160,923.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.