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Finding the Third Proportional to 210,851.25 and 462,738

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Solution

The third proportional to 210,851.25 and 462,738 is: 1,015,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,851.25 : 462,738 = 462,738 : x
  2. Step 2: Convert to fraction form
    210,851.25/462,738 = 462,738/x
  3. Step 3: Cross multiply
    210,851.25x = 462,738 × 462,738
  4. Step 4: Simplify right side
    210,851.25x = 214,126,456,644
  5. Step 5: Solve for x
    x = 214,126,456,644/210,851.25
  6. Step 6: Final answer
    x = 1,015,533.26

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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.