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Finding the Third Proportional to 263,135 and 553,777

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Solution

The third proportional to 263,135 and 553,777 is: 1,165,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,135 : 553,777 = 553,777 : x
  2. Step 2: Convert to fraction form
    263,135/553,777 = 553,777/x
  3. Step 3: Cross multiply
    263,135x = 553,777 × 553,777
  4. Step 4: Simplify right side
    263,135x = 306,668,965,729
  5. Step 5: Solve for x
    x = 306,668,965,729/263,135
  6. Step 6: Final answer
    x = 1,165,443.46

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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.