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Finding the Third Proportional to 263,144 and 553,796

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Solution

The third proportional to 263,144 and 553,796 is: 1,165,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,144 : 553,796 = 553,796 : x
  2. Step 2: Convert to fraction form
    263,144/553,796 = 553,796/x
  3. Step 3: Cross multiply
    263,144x = 553,796 × 553,796
  4. Step 4: Simplify right side
    263,144x = 306,690,009,616
  5. Step 5: Solve for x
    x = 306,690,009,616/263,144
  6. Step 6: Final answer
    x = 1,165,483.57

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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.