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Finding the Third Proportional to 336,742 and 522,821

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Solution

The third proportional to 336,742 and 522,821 is: 811,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,742 : 522,821 = 522,821 : x
  2. Step 2: Convert to fraction form
    336,742/522,821 = 522,821/x
  3. Step 3: Cross multiply
    336,742x = 522,821 × 522,821
  4. Step 4: Simplify right side
    336,742x = 273,341,798,041
  5. Step 5: Solve for x
    x = 273,341,798,041/336,742
  6. Step 6: Final answer
    x = 811,724.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.