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Finding the Third Proportional to 493,774.50 and 1,061,209.50

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Solution

The third proportional to 493,774.50 and 1,061,209.50 is: 2,280,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,774.50 : 1,061,209.50 = 1,061,209.50 : x
  2. Step 2: Convert to fraction form
    493,774.50/1,061,209.50 = 1,061,209.50/x
  3. Step 3: Cross multiply
    493,774.50x = 1,061,209.50 × 1,061,209.50
  4. Step 4: Simplify right side
    493,774.50x = 1,126,165,602,890.25
  5. Step 5: Solve for x
    x = 1,126,165,602,890.25/493,774.50
  6. Step 6: Final answer
    x = 2,280,728.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.