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Finding the Third Proportional to 284,171.63 and 627,630.75

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Solution

The third proportional to 284,171.63 and 627,630.75 is: 1,386,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,171.63 : 627,630.75 = 627,630.75 : x
  2. Step 2: Convert to fraction form
    284,171.63/627,630.75 = 627,630.75/x
  3. Step 3: Cross multiply
    284,171.63x = 627,630.75 × 627,630.75
  4. Step 4: Simplify right side
    284,171.63x = 393,920,358,345.56
  5. Step 5: Solve for x
    x = 393,920,358,345.56/284,171.63
  6. Step 6: Final answer
    x = 1,386,205.81

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.