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Finding the Third Proportional to 254,043 and 541,830

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Solution

The third proportional to 254,043 and 541,830 is: 1,155,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,043 : 541,830 = 541,830 : x
  2. Step 2: Convert to fraction form
    254,043/541,830 = 541,830/x
  3. Step 3: Cross multiply
    254,043x = 541,830 × 541,830
  4. Step 4: Simplify right side
    254,043x = 293,579,748,900
  5. Step 5: Solve for x
    x = 293,579,748,900/254,043
  6. Step 6: Final answer
    x = 1,155,630.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.