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Finding the Third Proportional to 263,352.50 and 621,292.50

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Solution

The third proportional to 263,352.50 and 621,292.50 is: 1,465,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,352.50 : 621,292.50 = 621,292.50 : x
  2. Step 2: Convert to fraction form
    263,352.50/621,292.50 = 621,292.50/x
  3. Step 3: Cross multiply
    263,352.50x = 621,292.50 × 621,292.50
  4. Step 4: Simplify right side
    263,352.50x = 386,004,370,556.25
  5. Step 5: Solve for x
    x = 386,004,370,556.25/263,352.50
  6. Step 6: Final answer
    x = 1,465,732.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.