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Finding the Third Proportional to 366,742.50 and 561,009

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Solution

The third proportional to 366,742.50 and 561,009 is: 858,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,742.50 : 561,009 = 561,009 : x
  2. Step 2: Convert to fraction form
    366,742.50/561,009 = 561,009/x
  3. Step 3: Cross multiply
    366,742.50x = 561,009 × 561,009
  4. Step 4: Simplify right side
    366,742.50x = 314,731,098,081
  5. Step 5: Solve for x
    x = 314,731,098,081/366,742.50
  6. Step 6: Final answer
    x = 858,180.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.