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Finding the Third Proportional to 263,097 and 567,706.50

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Solution

The third proportional to 263,097 and 567,706.50 is: 1,224,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,097 : 567,706.50 = 567,706.50 : x
  2. Step 2: Convert to fraction form
    263,097/567,706.50 = 567,706.50/x
  3. Step 3: Cross multiply
    263,097x = 567,706.50 × 567,706.50
  4. Step 4: Simplify right side
    263,097x = 322,290,670,142.25
  5. Step 5: Solve for x
    x = 322,290,670,142.25/263,097
  6. Step 6: Final answer
    x = 1,224,988.01

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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.