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Finding the Third Proportional to 241,600 and 524,719

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Solution

The third proportional to 241,600 and 524,719 is: 1,139,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,600 : 524,719 = 524,719 : x
  2. Step 2: Convert to fraction form
    241,600/524,719 = 524,719/x
  3. Step 3: Cross multiply
    241,600x = 524,719 × 524,719
  4. Step 4: Simplify right side
    241,600x = 275,330,028,961
  5. Step 5: Solve for x
    x = 275,330,028,961/241,600
  6. Step 6: Final answer
    x = 1,139,611.05

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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.