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Finding the Third Proportional to 572,002 and 856,899

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Solution

The third proportional to 572,002 and 856,899 is: 1,283,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,002 : 856,899 = 856,899 : x
  2. Step 2: Convert to fraction form
    572,002/856,899 = 856,899/x
  3. Step 3: Cross multiply
    572,002x = 856,899 × 856,899
  4. Step 4: Simplify right side
    572,002x = 734,275,896,201
  5. Step 5: Solve for x
    x = 734,275,896,201/572,002
  6. Step 6: Final answer
    x = 1,283,694.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.