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Finding the Third Proportional to 284,120 and 612,524

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Solution

The third proportional to 284,120 and 612,524 is: 1,320,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,120 : 612,524 = 612,524 : x
  2. Step 2: Convert to fraction form
    284,120/612,524 = 612,524/x
  3. Step 3: Cross multiply
    284,120x = 612,524 × 612,524
  4. Step 4: Simplify right side
    284,120x = 375,185,650,576
  5. Step 5: Solve for x
    x = 375,185,650,576/284,120
  6. Step 6: Final answer
    x = 1,320,518.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.