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Finding the Third Proportional to 460,950.75 and 721,500.19

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Solution

The third proportional to 460,950.75 and 721,500.19 is: 1,129,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,950.75 : 721,500.19 = 721,500.19 : x
  2. Step 2: Convert to fraction form
    460,950.75/721,500.19 = 721,500.19/x
  3. Step 3: Cross multiply
    460,950.75x = 721,500.19 × 721,500.19
  4. Step 4: Simplify right side
    460,950.75x = 520,562,520,562.54
  5. Step 5: Solve for x
    x = 520,562,520,562.54/460,950.75
  6. Step 6: Final answer
    x = 1,129,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.