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Finding the Third Proportional to 274,345.50 and 598,308

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Solution

The third proportional to 274,345.50 and 598,308 is: 1,304,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,345.50 : 598,308 = 598,308 : x
  2. Step 2: Convert to fraction form
    274,345.50/598,308 = 598,308/x
  3. Step 3: Cross multiply
    274,345.50x = 598,308 × 598,308
  4. Step 4: Simplify right side
    274,345.50x = 357,972,462,864
  5. Step 5: Solve for x
    x = 357,972,462,864/274,345.50
  6. Step 6: Final answer
    x = 1,304,823.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.