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Finding the Third Proportional to 241,485 and 524,454

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Solution

The third proportional to 241,485 and 524,454 is: 1,139,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,485 : 524,454 = 524,454 : x
  2. Step 2: Convert to fraction form
    241,485/524,454 = 524,454/x
  3. Step 3: Cross multiply
    241,485x = 524,454 × 524,454
  4. Step 4: Simplify right side
    241,485x = 275,051,998,116
  5. Step 5: Solve for x
    x = 275,051,998,116/241,485
  6. Step 6: Final answer
    x = 1,139,002.41

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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.