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Finding the Third Proportional to 236,467 and 507,926

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Solution

The third proportional to 236,467 and 507,926 is: 1,091,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,467 : 507,926 = 507,926 : x
  2. Step 2: Convert to fraction form
    236,467/507,926 = 507,926/x
  3. Step 3: Cross multiply
    236,467x = 507,926 × 507,926
  4. Step 4: Simplify right side
    236,467x = 257,988,821,476
  5. Step 5: Solve for x
    x = 257,988,821,476/236,467
  6. Step 6: Final answer
    x = 1,091,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.