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Finding the Third Proportional to 241,926 and 525,396

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Solution

The third proportional to 241,926 and 525,396 is: 1,141,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,926 : 525,396 = 525,396 : x
  2. Step 2: Convert to fraction form
    241,926/525,396 = 525,396/x
  3. Step 3: Cross multiply
    241,926x = 525,396 × 525,396
  4. Step 4: Simplify right side
    241,926x = 276,040,956,816
  5. Step 5: Solve for x
    x = 276,040,956,816/241,926
  6. Step 6: Final answer
    x = 1,141,014.02

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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.