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Finding the Third Proportional to 254,016 and 551,808

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Solution

The third proportional to 254,016 and 551,808 is: 1,198,712.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016 : 551,808 = 551,808 : x
  2. Step 2: Convert to fraction form
    254,016/551,808 = 551,808/x
  3. Step 3: Cross multiply
    254,016x = 551,808 × 551,808
  4. Step 4: Simplify right side
    254,016x = 304,492,068,864
  5. Step 5: Solve for x
    x = 304,492,068,864/254,016
  6. Step 6: Final answer
    x = 1,198,712.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.