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Finding the Third Proportional to 210,466.50 and 461,679

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Solution

The third proportional to 210,466.50 and 461,679 is: 1,012,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,466.50 : 461,679 = 461,679 : x
  2. Step 2: Convert to fraction form
    210,466.50/461,679 = 461,679/x
  3. Step 3: Cross multiply
    210,466.50x = 461,679 × 461,679
  4. Step 4: Simplify right side
    210,466.50x = 213,147,499,041
  5. Step 5: Solve for x
    x = 213,147,499,041/210,466.50
  6. Step 6: Final answer
    x = 1,012,738.36

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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.