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Finding the Third Proportional to 353,067.75 and 724,907.25

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Solution

The third proportional to 353,067.75 and 724,907.25 is: 1,488,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,067.75 : 724,907.25 = 724,907.25 : x
  2. Step 2: Convert to fraction form
    353,067.75/724,907.25 = 724,907.25/x
  3. Step 3: Cross multiply
    353,067.75x = 724,907.25 × 724,907.25
  4. Step 4: Simplify right side
    353,067.75x = 525,490,521,102.56
  5. Step 5: Solve for x
    x = 525,490,521,102.56/353,067.75
  6. Step 6: Final answer
    x = 1,488,356.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.