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Finding the Third Proportional to 254,056 and 541,862

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Solution

The third proportional to 254,056 and 541,862 is: 1,155,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,056 : 541,862 = 541,862 : x
  2. Step 2: Convert to fraction form
    254,056/541,862 = 541,862/x
  3. Step 3: Cross multiply
    254,056x = 541,862 × 541,862
  4. Step 4: Simplify right side
    254,056x = 293,614,427,044
  5. Step 5: Solve for x
    x = 293,614,427,044/254,056
  6. Step 6: Final answer
    x = 1,155,707.51

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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.