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Finding the Third Proportional to 242,921 and 533,668

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Solution

The third proportional to 242,921 and 533,668 is: 1,172,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,921 : 533,668 = 533,668 : x
  2. Step 2: Convert to fraction form
    242,921/533,668 = 533,668/x
  3. Step 3: Cross multiply
    242,921x = 533,668 × 533,668
  4. Step 4: Simplify right side
    242,921x = 284,801,534,224
  5. Step 5: Solve for x
    x = 284,801,534,224/242,921
  6. Step 6: Final answer
    x = 1,172,403.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.