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Finding the Third Proportional to 241,560 and 524,740

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Solution

The third proportional to 241,560 and 524,740 is: 1,139,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,560 : 524,740 = 524,740 : x
  2. Step 2: Convert to fraction form
    241,560/524,740 = 524,740/x
  3. Step 3: Cross multiply
    241,560x = 524,740 × 524,740
  4. Step 4: Simplify right side
    241,560x = 275,352,067,600
  5. Step 5: Solve for x
    x = 275,352,067,600/241,560
  6. Step 6: Final answer
    x = 1,139,890.99

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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.