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Finding the Third Proportional to 366,988.50 and 562,146.75

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Solution

The third proportional to 366,988.50 and 562,146.75 is: 861,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988.50 : 562,146.75 = 562,146.75 : x
  2. Step 2: Convert to fraction form
    366,988.50/562,146.75 = 562,146.75/x
  3. Step 3: Cross multiply
    366,988.50x = 562,146.75 × 562,146.75
  4. Step 4: Simplify right side
    366,988.50x = 316,008,968,535.56
  5. Step 5: Solve for x
    x = 316,008,968,535.56/366,988.50
  6. Step 6: Final answer
    x = 861,086.84

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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.