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Finding the Third Proportional to 224,564.06 and 486,504.56

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Solution

The third proportional to 224,564.06 and 486,504.56 is: 1,053,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,564.06 : 486,504.56 = 486,504.56 : x
  2. Step 2: Convert to fraction form
    224,564.06/486,504.56 = 486,504.56/x
  3. Step 3: Cross multiply
    224,564.06x = 486,504.56 × 486,504.56
  4. Step 4: Simplify right side
    224,564.06x = 236,686,689,333.32
  5. Step 5: Solve for x
    x = 236,686,689,333.32/224,564.06
  6. Step 6: Final answer
    x = 1,053,982.93

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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.