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Finding the Third Proportional to 284,396.76 and 612,146.83

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Solution

The third proportional to 284,396.76 and 612,146.83 is: 1,317,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,396.76 : 612,146.83 = 612,146.83 : x
  2. Step 2: Convert to fraction form
    284,396.76/612,146.83 = 612,146.83/x
  3. Step 3: Cross multiply
    284,396.76x = 612,146.83 × 612,146.83
  4. Step 4: Simplify right side
    284,396.76x = 374,723,736,867.07
  5. Step 5: Solve for x
    x = 374,723,736,867.07/284,396.76
  6. Step 6: Final answer
    x = 1,317,609.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.