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Finding the Third Proportional to 284,150.50 and 424,281.75

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Solution

The third proportional to 284,150.50 and 424,281.75 is: 633,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,150.50 : 424,281.75 = 424,281.75 : x
  2. Step 2: Convert to fraction form
    284,150.50/424,281.75 = 424,281.75/x
  3. Step 3: Cross multiply
    284,150.50x = 424,281.75 × 424,281.75
  4. Step 4: Simplify right side
    284,150.50x = 180,015,003,383.06
  5. Step 5: Solve for x
    x = 180,015,003,383.06/284,150.50
  6. Step 6: Final answer
    x = 633,519.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.