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Finding the Third Proportional to 406,450.50 and 571,866

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Solution

The third proportional to 406,450.50 and 571,866 is: 804,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,450.50 : 571,866 = 571,866 : x
  2. Step 2: Convert to fraction form
    406,450.50/571,866 = 571,866/x
  3. Step 3: Cross multiply
    406,450.50x = 571,866 × 571,866
  4. Step 4: Simplify right side
    406,450.50x = 327,030,721,956
  5. Step 5: Solve for x
    x = 327,030,721,956/406,450.50
  6. Step 6: Final answer
    x = 804,601.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.