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Finding the Third Proportional to 571,675.22 and 783,893.53

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Solution

The third proportional to 571,675.22 and 783,893.53 is: 1,074,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,675.22 : 783,893.53 = 783,893.53 : x
  2. Step 2: Convert to fraction form
    571,675.22/783,893.53 = 783,893.53/x
  3. Step 3: Cross multiply
    571,675.22x = 783,893.53 × 783,893.53
  4. Step 4: Simplify right side
    571,675.22x = 614,489,068,335.60
  5. Step 5: Solve for x
    x = 614,489,068,335.60/571,675.22
  6. Step 6: Final answer
    x = 1,074,891.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.