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Finding the Third Proportional to 263,651.50 and 564,667.50

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Solution

The third proportional to 263,651.50 and 564,667.50 is: 1,209,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,651.50 : 564,667.50 = 564,667.50 : x
  2. Step 2: Convert to fraction form
    263,651.50/564,667.50 = 564,667.50/x
  3. Step 3: Cross multiply
    263,651.50x = 564,667.50 × 564,667.50
  4. Step 4: Simplify right side
    263,651.50x = 318,849,385,556.25
  5. Step 5: Solve for x
    x = 318,849,385,556.25/263,651.50
  6. Step 6: Final answer
    x = 1,209,359.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.