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Finding the Third Proportional to 288,697.50 and 629,802

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Solution

The third proportional to 288,697.50 and 629,802 is: 1,373,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.50 : 629,802 = 629,802 : x
  2. Step 2: Convert to fraction form
    288,697.50/629,802 = 629,802/x
  3. Step 3: Cross multiply
    288,697.50x = 629,802 × 629,802
  4. Step 4: Simplify right side
    288,697.50x = 396,650,559,204
  5. Step 5: Solve for x
    x = 396,650,559,204/288,697.50
  6. Step 6: Final answer
    x = 1,373,931.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.