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Finding the Third Proportional to 441,617.06 and 662,972.34

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Solution

The third proportional to 441,617.06 and 662,972.34 is: 995,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,617.06 : 662,972.34 = 662,972.34 : x
  2. Step 2: Convert to fraction form
    441,617.06/662,972.34 = 662,972.34/x
  3. Step 3: Cross multiply
    441,617.06x = 662,972.34 × 662,972.34
  4. Step 4: Simplify right side
    441,617.06x = 439,532,328,577.37
  5. Step 5: Solve for x
    x = 439,532,328,577.37/441,617.06
  6. Step 6: Final answer
    x = 995,279.32

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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.