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Finding the Third Proportional to 263,178 and 553,857.75

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Solution

The third proportional to 263,178 and 553,857.75 is: 1,165,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,178 : 553,857.75 = 553,857.75 : x
  2. Step 2: Convert to fraction form
    263,178/553,857.75 = 553,857.75/x
  3. Step 3: Cross multiply
    263,178x = 553,857.75 × 553,857.75
  4. Step 4: Simplify right side
    263,178x = 306,758,407,235.06
  5. Step 5: Solve for x
    x = 306,758,407,235.06/263,178
  6. Step 6: Final answer
    x = 1,165,592.90

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