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Finding the Third Proportional to 241,550 and 524,654

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Solution

The third proportional to 241,550 and 524,654 is: 1,139,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,550 : 524,654 = 524,654 : x
  2. Step 2: Convert to fraction form
    241,550/524,654 = 524,654/x
  3. Step 3: Cross multiply
    241,550x = 524,654 × 524,654
  4. Step 4: Simplify right side
    241,550x = 275,261,819,716
  5. Step 5: Solve for x
    x = 275,261,819,716/241,550
  6. Step 6: Final answer
    x = 1,139,564.56

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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.