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Finding the Third Proportional to 360,056 and 775,512

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Solution

The third proportional to 360,056 and 775,512 is: 1,670,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,056 : 775,512 = 775,512 : x
  2. Step 2: Convert to fraction form
    360,056/775,512 = 775,512/x
  3. Step 3: Cross multiply
    360,056x = 775,512 × 775,512
  4. Step 4: Simplify right side
    360,056x = 601,418,862,144
  5. Step 5: Solve for x
    x = 601,418,862,144/360,056
  6. Step 6: Final answer
    x = 1,670,348.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.