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Finding the Third Proportional to 523,809 and 800,869.50

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Solution

The third proportional to 523,809 and 800,869.50 is: 1,224,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,809 : 800,869.50 = 800,869.50 : x
  2. Step 2: Convert to fraction form
    523,809/800,869.50 = 800,869.50/x
  3. Step 3: Cross multiply
    523,809x = 800,869.50 × 800,869.50
  4. Step 4: Simplify right side
    523,809x = 641,391,956,030.25
  5. Step 5: Solve for x
    x = 641,391,956,030.25/523,809
  6. Step 6: Final answer
    x = 1,224,476.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.