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Finding the Third Proportional to 254,182 and 547,760.25

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Solution

The third proportional to 254,182 and 547,760.25 is: 1,180,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,182 : 547,760.25 = 547,760.25 : x
  2. Step 2: Convert to fraction form
    254,182/547,760.25 = 547,760.25/x
  3. Step 3: Cross multiply
    254,182x = 547,760.25 × 547,760.25
  4. Step 4: Simplify right side
    254,182x = 300,041,291,480.06
  5. Step 5: Solve for x
    x = 300,041,291,480.06/254,182
  6. Step 6: Final answer
    x = 1,180,419.11

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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.