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Finding the Third Proportional to 213,705 and 461,673

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Solution

The third proportional to 213,705 and 461,673 is: 997,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,705 : 461,673 = 461,673 : x
  2. Step 2: Convert to fraction form
    213,705/461,673 = 461,673/x
  3. Step 3: Cross multiply
    213,705x = 461,673 × 461,673
  4. Step 4: Simplify right side
    213,705x = 213,141,958,929
  5. Step 5: Solve for x
    x = 213,141,958,929/213,705
  6. Step 6: Final answer
    x = 997,365.34

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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.