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Finding the Third Proportional to 569,576.50 and 801,071

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Solution

The third proportional to 569,576.50 and 801,071 is: 1,126,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,576.50 : 801,071 = 801,071 : x
  2. Step 2: Convert to fraction form
    569,576.50/801,071 = 801,071/x
  3. Step 3: Cross multiply
    569,576.50x = 801,071 × 801,071
  4. Step 4: Simplify right side
    569,576.50x = 641,714,747,041
  5. Step 5: Solve for x
    x = 641,714,747,041/569,576.50
  6. Step 6: Final answer
    x = 1,126,652.43

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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.