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Finding the Third Proportional to 242,546 and 527,563

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Solution

The third proportional to 242,546 and 527,563 is: 1,147,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,546 : 527,563 = 527,563 : x
  2. Step 2: Convert to fraction form
    242,546/527,563 = 527,563/x
  3. Step 3: Cross multiply
    242,546x = 527,563 × 527,563
  4. Step 4: Simplify right side
    242,546x = 278,322,718,969
  5. Step 5: Solve for x
    x = 278,322,718,969/242,546
  6. Step 6: Final answer
    x = 1,147,504.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.