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Finding the Third Proportional to 263,172 and 567,715.50

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Solution

The third proportional to 263,172 and 567,715.50 is: 1,224,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,172 : 567,715.50 = 567,715.50 : x
  2. Step 2: Convert to fraction form
    263,172/567,715.50 = 567,715.50/x
  3. Step 3: Cross multiply
    263,172x = 567,715.50 × 567,715.50
  4. Step 4: Simplify right side
    263,172x = 322,300,888,940.25
  5. Step 5: Solve for x
    x = 322,300,888,940.25/263,172
  6. Step 6: Final answer
    x = 1,224,677.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.