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Finding the Third Proportional to 254,649 and 554,952

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Solution

The third proportional to 254,649 and 554,952 is: 1,209,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,649 : 554,952 = 554,952 : x
  2. Step 2: Convert to fraction form
    254,649/554,952 = 554,952/x
  3. Step 3: Cross multiply
    254,649x = 554,952 × 554,952
  4. Step 4: Simplify right side
    254,649x = 307,971,722,304
  5. Step 5: Solve for x
    x = 307,971,722,304/254,649
  6. Step 6: Final answer
    x = 1,209,396.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.