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Finding the Third Proportional to 213,802 and 461,502

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Solution

The third proportional to 213,802 and 461,502 is: 996,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,802 : 461,502 = 461,502 : x
  2. Step 2: Convert to fraction form
    213,802/461,502 = 461,502/x
  3. Step 3: Cross multiply
    213,802x = 461,502 × 461,502
  4. Step 4: Simplify right side
    213,802x = 212,984,096,004
  5. Step 5: Solve for x
    x = 212,984,096,004/213,802
  6. Step 6: Final answer
    x = 996,174.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.