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Finding the Third Proportional to 274,165.50 and 601,294.50

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Solution

The third proportional to 274,165.50 and 601,294.50 is: 1,318,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,165.50 : 601,294.50 = 601,294.50 : x
  2. Step 2: Convert to fraction form
    274,165.50/601,294.50 = 601,294.50/x
  3. Step 3: Cross multiply
    274,165.50x = 601,294.50 × 601,294.50
  4. Step 4: Simplify right side
    274,165.50x = 361,555,075,730.25
  5. Step 5: Solve for x
    x = 361,555,075,730.25/274,165.50
  6. Step 6: Final answer
    x = 1,318,747.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.