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Finding the Third Proportional to 229,261.22 and 539,442.28

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Solution

The third proportional to 229,261.22 and 539,442.28 is: 1,269,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,261.22 : 539,442.28 = 539,442.28 : x
  2. Step 2: Convert to fraction form
    229,261.22/539,442.28 = 539,442.28/x
  3. Step 3: Cross multiply
    229,261.22x = 539,442.28 × 539,442.28
  4. Step 4: Simplify right side
    229,261.22x = 290,997,974,800.20
  5. Step 5: Solve for x
    x = 290,997,974,800.20/229,261.22
  6. Step 6: Final answer
    x = 1,269,285.65

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.