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Finding the Third Proportional to 191,619 and 447,565.50

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Solution

The third proportional to 191,619 and 447,565.50 is: 1,045,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,619 : 447,565.50 = 447,565.50 : x
  2. Step 2: Convert to fraction form
    191,619/447,565.50 = 447,565.50/x
  3. Step 3: Cross multiply
    191,619x = 447,565.50 × 447,565.50
  4. Step 4: Simplify right side
    191,619x = 200,314,876,790.25
  5. Step 5: Solve for x
    x = 200,314,876,790.25/191,619
  6. Step 6: Final answer
    x = 1,045,381.08

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.