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Finding the Third Proportional to 263,900 and 553,724

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Solution

The third proportional to 263,900 and 553,724 is: 1,161,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,900 : 553,724 = 553,724 : x
  2. Step 2: Convert to fraction form
    263,900/553,724 = 553,724/x
  3. Step 3: Cross multiply
    263,900x = 553,724 × 553,724
  4. Step 4: Simplify right side
    263,900x = 306,610,268,176
  5. Step 5: Solve for x
    x = 306,610,268,176/263,900
  6. Step 6: Final answer
    x = 1,161,842.62

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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.