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Finding the Third Proportional to 341,103 and 723,766

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Solution

The third proportional to 341,103 and 723,766 is: 1,535,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,103 : 723,766 = 723,766 : x
  2. Step 2: Convert to fraction form
    341,103/723,766 = 723,766/x
  3. Step 3: Cross multiply
    341,103x = 723,766 × 723,766
  4. Step 4: Simplify right side
    341,103x = 523,837,222,756
  5. Step 5: Solve for x
    x = 523,837,222,756/341,103
  6. Step 6: Final answer
    x = 1,535,715.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.