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Finding the Third Proportional to 252,546 and 544,452

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Solution

The third proportional to 252,546 and 544,452 is: 1,173,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,546 : 544,452 = 544,452 : x
  2. Step 2: Convert to fraction form
    252,546/544,452 = 544,452/x
  3. Step 3: Cross multiply
    252,546x = 544,452 × 544,452
  4. Step 4: Simplify right side
    252,546x = 296,427,980,304
  5. Step 5: Solve for x
    x = 296,427,980,304/252,546
  6. Step 6: Final answer
    x = 1,173,758.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.