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Finding the Third Proportional to 366,996 and 567,193.50

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Solution

The third proportional to 366,996 and 567,193.50 is: 876,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,996 : 567,193.50 = 567,193.50 : x
  2. Step 2: Convert to fraction form
    366,996/567,193.50 = 567,193.50/x
  3. Step 3: Cross multiply
    366,996x = 567,193.50 × 567,193.50
  4. Step 4: Simplify right side
    366,996x = 321,708,466,442.25
  5. Step 5: Solve for x
    x = 321,708,466,442.25/366,996
  6. Step 6: Final answer
    x = 876,599.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.