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Finding the Third Proportional to 274,501.25 and 594,822.50

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Solution

The third proportional to 274,501.25 and 594,822.50 is: 1,288,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,501.25 : 594,822.50 = 594,822.50 : x
  2. Step 2: Convert to fraction form
    274,501.25/594,822.50 = 594,822.50/x
  3. Step 3: Cross multiply
    274,501.25x = 594,822.50 × 594,822.50
  4. Step 4: Simplify right side
    274,501.25x = 353,813,806,506.25
  5. Step 5: Solve for x
    x = 353,813,806,506.25/274,501.25
  6. Step 6: Final answer
    x = 1,288,933.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.