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Finding the Third Proportional to 438,099 and 659,092.50

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Solution

The third proportional to 438,099 and 659,092.50 is: 991,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,099 : 659,092.50 = 659,092.50 : x
  2. Step 2: Convert to fraction form
    438,099/659,092.50 = 659,092.50/x
  3. Step 3: Cross multiply
    438,099x = 659,092.50 × 659,092.50
  4. Step 4: Simplify right side
    438,099x = 434,402,923,556.25
  5. Step 5: Solve for x
    x = 434,402,923,556.25/438,099
  6. Step 6: Final answer
    x = 991,563.38

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