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Finding the Third Proportional to 254,525 and 548,389

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Solution

The third proportional to 254,525 and 548,389 is: 1,181,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,525 : 548,389 = 548,389 : x
  2. Step 2: Convert to fraction form
    254,525/548,389 = 548,389/x
  3. Step 3: Cross multiply
    254,525x = 548,389 × 548,389
  4. Step 4: Simplify right side
    254,525x = 300,730,495,321
  5. Step 5: Solve for x
    x = 300,730,495,321/254,525
  6. Step 6: Final answer
    x = 1,181,536.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.