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Finding the Third Proportional to 435,264 and 958,800

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Solution

The third proportional to 435,264 and 958,800 is: 2,112,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,264 : 958,800 = 958,800 : x
  2. Step 2: Convert to fraction form
    435,264/958,800 = 958,800/x
  3. Step 3: Cross multiply
    435,264x = 958,800 × 958,800
  4. Step 4: Simplify right side
    435,264x = 919,297,440,000
  5. Step 5: Solve for x
    x = 919,297,440,000/435,264
  6. Step 6: Final answer
    x = 2,112,045.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.