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Finding the Third Proportional to 311,178 and 633,769.50

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Solution

The third proportional to 311,178 and 633,769.50 is: 1,290,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,178 : 633,769.50 = 633,769.50 : x
  2. Step 2: Convert to fraction form
    311,178/633,769.50 = 633,769.50/x
  3. Step 3: Cross multiply
    311,178x = 633,769.50 × 633,769.50
  4. Step 4: Simplify right side
    311,178x = 401,663,779,130.25
  5. Step 5: Solve for x
    x = 401,663,779,130.25/311,178
  6. Step 6: Final answer
    x = 1,290,784.63

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.