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Finding the Third Proportional to 284,735.75 and 400,516.50

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Solution

The third proportional to 284,735.75 and 400,516.50 is: 563,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,735.75 : 400,516.50 = 400,516.50 : x
  2. Step 2: Convert to fraction form
    284,735.75/400,516.50 = 400,516.50/x
  3. Step 3: Cross multiply
    284,735.75x = 400,516.50 × 400,516.50
  4. Step 4: Simplify right side
    284,735.75x = 160,413,466,772.25
  5. Step 5: Solve for x
    x = 160,413,466,772.25/284,735.75
  6. Step 6: Final answer
    x = 563,376.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.