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Finding the Third Proportional to 253,858 and 551,416

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Solution

The third proportional to 253,858 and 551,416 is: 1,197,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858 : 551,416 = 551,416 : x
  2. Step 2: Convert to fraction form
    253,858/551,416 = 551,416/x
  3. Step 3: Cross multiply
    253,858x = 551,416 × 551,416
  4. Step 4: Simplify right side
    253,858x = 304,059,605,056
  5. Step 5: Solve for x
    x = 304,059,605,056/253,858
  6. Step 6: Final answer
    x = 1,197,754.67

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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.