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Finding the Third Proportional to 427,605.50 and 923,008

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Solution

The third proportional to 427,605.50 and 923,008 is: 1,992,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,605.50 : 923,008 = 923,008 : x
  2. Step 2: Convert to fraction form
    427,605.50/923,008 = 923,008/x
  3. Step 3: Cross multiply
    427,605.50x = 923,008 × 923,008
  4. Step 4: Simplify right side
    427,605.50x = 851,943,768,064
  5. Step 5: Solve for x
    x = 851,943,768,064/427,605.50
  6. Step 6: Final answer
    x = 1,992,359.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.