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Finding the Third Proportional to 274,590 and 591,313.50

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Solution

The third proportional to 274,590 and 591,313.50 is: 1,273,359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,590 : 591,313.50 = 591,313.50 : x
  2. Step 2: Convert to fraction form
    274,590/591,313.50 = 591,313.50/x
  3. Step 3: Cross multiply
    274,590x = 591,313.50 × 591,313.50
  4. Step 4: Simplify right side
    274,590x = 349,651,655,282.25
  5. Step 5: Solve for x
    x = 349,651,655,282.25/274,590
  6. Step 6: Final answer
    x = 1,273,359.03

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Why These Related Problems?

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