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Finding the Third Proportional to 264,027 and 567,842.50

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Solution

The third proportional to 264,027 and 567,842.50 is: 1,221,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,027 : 567,842.50 = 567,842.50 : x
  2. Step 2: Convert to fraction form
    264,027/567,842.50 = 567,842.50/x
  3. Step 3: Cross multiply
    264,027x = 567,842.50 × 567,842.50
  4. Step 4: Simplify right side
    264,027x = 322,445,104,806.25
  5. Step 5: Solve for x
    x = 322,445,104,806.25/264,027
  6. Step 6: Final answer
    x = 1,221,258.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.