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Finding the Third Proportional to 288,630 and 633,027

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Solution

The third proportional to 288,630 and 633,027 is: 1,388,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,630 : 633,027 = 633,027 : x
  2. Step 2: Convert to fraction form
    288,630/633,027 = 633,027/x
  3. Step 3: Cross multiply
    288,630x = 633,027 × 633,027
  4. Step 4: Simplify right side
    288,630x = 400,723,182,729
  5. Step 5: Solve for x
    x = 400,723,182,729/288,630
  6. Step 6: Final answer
    x = 1,388,362.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.