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Finding the Third Proportional to 195,622 and 428,650

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Solution

The third proportional to 195,622 and 428,650 is: 939,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,622 : 428,650 = 428,650 : x
  2. Step 2: Convert to fraction form
    195,622/428,650 = 428,650/x
  3. Step 3: Cross multiply
    195,622x = 428,650 × 428,650
  4. Step 4: Simplify right side
    195,622x = 183,740,822,500
  5. Step 5: Solve for x
    x = 183,740,822,500/195,622
  6. Step 6: Final answer
    x = 939,264.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.