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Finding the Third Proportional to 347,676.75 and 538,053.75

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Solution

The third proportional to 347,676.75 and 538,053.75 is: 832,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,676.75 : 538,053.75 = 538,053.75 : x
  2. Step 2: Convert to fraction form
    347,676.75/538,053.75 = 538,053.75/x
  3. Step 3: Cross multiply
    347,676.75x = 538,053.75 × 538,053.75
  4. Step 4: Simplify right side
    347,676.75x = 289,501,837,889.06
  5. Step 5: Solve for x
    x = 289,501,837,889.06/347,676.75
  6. Step 6: Final answer
    x = 832,675.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.