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Finding the Third Proportional to 236,280 and 511,926

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Solution

The third proportional to 236,280 and 511,926 is: 1,109,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,280 : 511,926 = 511,926 : x
  2. Step 2: Convert to fraction form
    236,280/511,926 = 511,926/x
  3. Step 3: Cross multiply
    236,280x = 511,926 × 511,926
  4. Step 4: Simplify right side
    236,280x = 262,068,229,476
  5. Step 5: Solve for x
    x = 262,068,229,476/236,280
  6. Step 6: Final answer
    x = 1,109,142.67

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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.