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Finding the Third Proportional to 241,551 and 524,723

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Solution

The third proportional to 241,551 and 524,723 is: 1,139,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,551 : 524,723 = 524,723 : x
  2. Step 2: Convert to fraction form
    241,551/524,723 = 524,723/x
  3. Step 3: Cross multiply
    241,551x = 524,723 × 524,723
  4. Step 4: Simplify right side
    241,551x = 275,334,226,729
  5. Step 5: Solve for x
    x = 275,334,226,729/241,551
  6. Step 6: Final answer
    x = 1,139,859.60

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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.