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Finding the Third Proportional to 366,823.69 and 561,142.69

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Solution

The third proportional to 366,823.69 and 561,142.69 is: 858,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.69 : 561,142.69 = 561,142.69 : x
  2. Step 2: Convert to fraction form
    366,823.69/561,142.69 = 561,142.69/x
  3. Step 3: Cross multiply
    366,823.69x = 561,142.69 × 561,142.69
  4. Step 4: Simplify right side
    366,823.69x = 314,881,115,734.72
  5. Step 5: Solve for x
    x = 314,881,115,734.72/366,823.69
  6. Step 6: Final answer
    x = 858,399.08

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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.