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Finding the Third Proportional to 364,064.50 and 569,866

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Solution

The third proportional to 364,064.50 and 569,866 is: 892,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.50 : 569,866 = 569,866 : x
  2. Step 2: Convert to fraction form
    364,064.50/569,866 = 569,866/x
  3. Step 3: Cross multiply
    364,064.50x = 569,866 × 569,866
  4. Step 4: Simplify right side
    364,064.50x = 324,747,257,956
  5. Step 5: Solve for x
    x = 324,747,257,956/364,064.50
  6. Step 6: Final answer
    x = 892,004.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.