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Finding the Third Proportional to 508,063.25 and 743,022.25

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Solution

The third proportional to 508,063.25 and 743,022.25 is: 1,086,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,063.25 : 743,022.25 = 743,022.25 : x
  2. Step 2: Convert to fraction form
    508,063.25/743,022.25 = 743,022.25/x
  3. Step 3: Cross multiply
    508,063.25x = 743,022.25 × 743,022.25
  4. Step 4: Simplify right side
    508,063.25x = 552,082,063,995.06
  5. Step 5: Solve for x
    x = 552,082,063,995.06/508,063.25
  6. Step 6: Final answer
    x = 1,086,640.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.