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Finding the Third Proportional to 263,134 and 553,775

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Solution

The third proportional to 263,134 and 553,775 is: 1,165,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,134 : 553,775 = 553,775 : x
  2. Step 2: Convert to fraction form
    263,134/553,775 = 553,775/x
  3. Step 3: Cross multiply
    263,134x = 553,775 × 553,775
  4. Step 4: Simplify right side
    263,134x = 306,666,750,625
  5. Step 5: Solve for x
    x = 306,666,750,625/263,134
  6. Step 6: Final answer
    x = 1,165,439.47

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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.