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Finding the Third Proportional to 323,843.06 and 486,075.94

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Solution

The third proportional to 323,843.06 and 486,075.94 is: 729,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,843.06 : 486,075.94 = 486,075.94 : x
  2. Step 2: Convert to fraction form
    323,843.06/486,075.94 = 486,075.94/x
  3. Step 3: Cross multiply
    323,843.06x = 486,075.94 × 486,075.94
  4. Step 4: Simplify right side
    323,843.06x = 236,269,817,016.50
  5. Step 5: Solve for x
    x = 236,269,817,016.50/323,843.06
  6. Step 6: Final answer
    x = 729,581.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.