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Finding the Third Proportional to 288,705 and 629,814

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Solution

The third proportional to 288,705 and 629,814 is: 1,373,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,705 : 629,814 = 629,814 : x
  2. Step 2: Convert to fraction form
    288,705/629,814 = 629,814/x
  3. Step 3: Cross multiply
    288,705x = 629,814 × 629,814
  4. Step 4: Simplify right side
    288,705x = 396,665,674,596
  5. Step 5: Solve for x
    x = 396,665,674,596/288,705
  6. Step 6: Final answer
    x = 1,373,948.06

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Why These Related Problems?

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