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Finding the Third Proportional to 551,922 and 809,705.50

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Solution

The third proportional to 551,922 and 809,705.50 is: 1,187,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,922 : 809,705.50 = 809,705.50 : x
  2. Step 2: Convert to fraction form
    551,922/809,705.50 = 809,705.50/x
  3. Step 3: Cross multiply
    551,922x = 809,705.50 × 809,705.50
  4. Step 4: Simplify right side
    551,922x = 655,622,996,730.25
  5. Step 5: Solve for x
    x = 655,622,996,730.25/551,922
  6. Step 6: Final answer
    x = 1,187,890.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.