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Finding the Third Proportional to 254,466 and 542,628

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Solution

The third proportional to 254,466 and 542,628 is: 1,157,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,466 : 542,628 = 542,628 : x
  2. Step 2: Convert to fraction form
    254,466/542,628 = 542,628/x
  3. Step 3: Cross multiply
    254,466x = 542,628 × 542,628
  4. Step 4: Simplify right side
    254,466x = 294,445,146,384
  5. Step 5: Solve for x
    x = 294,445,146,384/254,466
  6. Step 6: Final answer
    x = 1,157,109.97

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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.