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Finding the Third Proportional to 284,559.75 and 380,627.44

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Solution

The third proportional to 284,559.75 and 380,627.44 is: 509,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,559.75 : 380,627.44 = 380,627.44 : x
  2. Step 2: Convert to fraction form
    284,559.75/380,627.44 = 380,627.44/x
  3. Step 3: Cross multiply
    284,559.75x = 380,627.44 × 380,627.44
  4. Step 4: Simplify right side
    284,559.75x = 144,877,246,177.82
  5. Step 5: Solve for x
    x = 144,877,246,177.82/284,559.75
  6. Step 6: Final answer
    x = 509,127.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.