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Finding the Third Proportional to 363,099 and 559,960.50

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Solution

The third proportional to 363,099 and 559,960.50 is: 863,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,099 : 559,960.50 = 559,960.50 : x
  2. Step 2: Convert to fraction form
    363,099/559,960.50 = 559,960.50/x
  3. Step 3: Cross multiply
    363,099x = 559,960.50 × 559,960.50
  4. Step 4: Simplify right side
    363,099x = 313,555,761,560.25
  5. Step 5: Solve for x
    x = 313,555,761,560.25/363,099
  6. Step 6: Final answer
    x = 863,554.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.