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Finding the Third Proportional to 423,198 and 574,107.75

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Solution

The third proportional to 423,198 and 574,107.75 is: 778,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,198 : 574,107.75 = 574,107.75 : x
  2. Step 2: Convert to fraction form
    423,198/574,107.75 = 574,107.75/x
  3. Step 3: Cross multiply
    423,198x = 574,107.75 × 574,107.75
  4. Step 4: Simplify right side
    423,198x = 329,599,708,610.06
  5. Step 5: Solve for x
    x = 329,599,708,610.06/423,198
  6. Step 6: Final answer
    x = 778,830.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.