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Finding the Third Proportional to 189,587.25 and 414,779.25

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Solution

The third proportional to 189,587.25 and 414,779.25 is: 907,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,587.25 : 414,779.25 = 414,779.25 : x
  2. Step 2: Convert to fraction form
    189,587.25/414,779.25 = 414,779.25/x
  3. Step 3: Cross multiply
    189,587.25x = 414,779.25 × 414,779.25
  4. Step 4: Simplify right side
    189,587.25x = 172,041,826,230.56
  5. Step 5: Solve for x
    x = 172,041,826,230.56/189,587.25
  6. Step 6: Final answer
    x = 907,454.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.