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Finding the Third Proportional to 523,771 and 800,875.50

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Solution

The third proportional to 523,771 and 800,875.50 is: 1,224,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771 : 800,875.50 = 800,875.50 : x
  2. Step 2: Convert to fraction form
    523,771/800,875.50 = 800,875.50/x
  3. Step 3: Cross multiply
    523,771x = 800,875.50 × 800,875.50
  4. Step 4: Simplify right side
    523,771x = 641,401,566,500.25
  5. Step 5: Solve for x
    x = 641,401,566,500.25/523,771
  6. Step 6: Final answer
    x = 1,224,583.96

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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.