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Finding the Third Proportional to 254,592 and 548,532

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Solution

The third proportional to 254,592 and 548,532 is: 1,181,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,592 : 548,532 = 548,532 : x
  2. Step 2: Convert to fraction form
    254,592/548,532 = 548,532/x
  3. Step 3: Cross multiply
    254,592x = 548,532 × 548,532
  4. Step 4: Simplify right side
    254,592x = 300,887,355,024
  5. Step 5: Solve for x
    x = 300,887,355,024/254,592
  6. Step 6: Final answer
    x = 1,181,841.36

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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.