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Finding the Third Proportional to 365,224 and 782,000

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Solution

The third proportional to 365,224 and 782,000 is: 1,674,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,224 : 782,000 = 782,000 : x
  2. Step 2: Convert to fraction form
    365,224/782,000 = 782,000/x
  3. Step 3: Cross multiply
    365,224x = 782,000 × 782,000
  4. Step 4: Simplify right side
    365,224x = 611,524,000,000
  5. Step 5: Solve for x
    x = 611,524,000,000/365,224
  6. Step 6: Final answer
    x = 1,674,380.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.