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Finding the Third Proportional to 347,368.50 and 527,796

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Solution

The third proportional to 347,368.50 and 527,796 is: 801,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,368.50 : 527,796 = 527,796 : x
  2. Step 2: Convert to fraction form
    347,368.50/527,796 = 527,796/x
  3. Step 3: Cross multiply
    347,368.50x = 527,796 × 527,796
  4. Step 4: Simplify right side
    347,368.50x = 278,568,617,616
  5. Step 5: Solve for x
    x = 278,568,617,616/347,368.50
  6. Step 6: Final answer
    x = 801,939.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.