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Finding the Third Proportional to 263,132 and 553,771

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Solution

The third proportional to 263,132 and 553,771 is: 1,165,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,132 : 553,771 = 553,771 : x
  2. Step 2: Convert to fraction form
    263,132/553,771 = 553,771/x
  3. Step 3: Cross multiply
    263,132x = 553,771 × 553,771
  4. Step 4: Simplify right side
    263,132x = 306,662,320,441
  5. Step 5: Solve for x
    x = 306,662,320,441/263,132
  6. Step 6: Final answer
    x = 1,165,431.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.