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Finding the Third Proportional to 274,023 and 591,664.50

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Solution

The third proportional to 274,023 and 591,664.50 is: 1,277,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,023 : 591,664.50 = 591,664.50 : x
  2. Step 2: Convert to fraction form
    274,023/591,664.50 = 591,664.50/x
  3. Step 3: Cross multiply
    274,023x = 591,664.50 × 591,664.50
  4. Step 4: Simplify right side
    274,023x = 350,066,880,560.25
  5. Step 5: Solve for x
    x = 350,066,880,560.25/274,023
  6. Step 6: Final answer
    x = 1,277,509.12

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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.