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Finding the Third Proportional to 311,201 and 633,814

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Solution

The third proportional to 311,201 and 633,814 is: 1,290,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,201 : 633,814 = 633,814 : x
  2. Step 2: Convert to fraction form
    311,201/633,814 = 633,814/x
  3. Step 3: Cross multiply
    311,201x = 633,814 × 633,814
  4. Step 4: Simplify right side
    311,201x = 401,720,186,596
  5. Step 5: Solve for x
    x = 401,720,186,596/311,201
  6. Step 6: Final answer
    x = 1,290,870.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.